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Projects
- Concentrations and Fine Properties of PDE-constrained measures (Adolfo Arroyo Rabasa) > papers
- Beyond Regularity In Differential Geometric Evolutions (Paolo Bonicatto)
- SElf ASsembled paTterns: Analysis and Regularity (Sara Daneri)
- Regularity and Singularity of Solutions to Geometric Variational Problems (Guido De Philippis)
- Anisotropic geometric variational problems: existence, regularity and uniqueness (Antonio De Rosa)
- Modern challEnges in Geometric Analysis (Nicola Gigli)
- Singular Structures in the Geometry of Measures: decompositions, rigidity and rectifiability (Andrea Marchese)
- Everything You Always Wanted to Know About the JKO Scheme (Filippo Santambrogio) > papers
- Optimal Transport and Metric Structures for Evolution Problems (Giuseppe Savaré)
- Singularities in Geometric Analysis: Minimal Surfaces and Mean Curvature Flows (Salvatore Stuvard)
- Geometry, Ellipticity and Micro-Structures: A differential inclusions approach (Riccardo Tione)
- Optimal TranspOrt and large Deviations for Deep LEarning theory (Dario Trevisan)
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)
News
- 11 Nov 2026: Updates on CVGMT: AI tags and new features
Open Positions
- 1 postdoctoral research positions in GMT / Geometric Analysis at the University of Milan (deadline: 20 Nov 2026)
- 4 Posizioni PostDoc - MATH-03/A - Dipartimento di Matematica dell'Univ. di Napoli Federico II (deadline: 20 Nov 2026)
- Two RTT tenure-track positions, Parma, SSD MATH-03/A (deadline: 26 Nov 2026)
- Posizione di Professore Ordinario - MATH-03/B - Dipartimento di Matematica dell'Univ. di Napoli Federico II (deadline: 26 Nov 2026)
- ERC Postdoc position at Bocconi University, Milan (deadline: 27 Nov 2026)
- Postdoc position at Chemnitz University of Technology (2 years, full-time) (deadline: 30 Nov 2026)
- Postdoctoral position in Geometric partial differential equations, University of Vienna (deadline: 30 Nov 2026)
- SMRI Fellowships, 2027 special semester ‘Nonlinear PDEs and applications’ (deadline: 30 Nov 2026)
- Expressions of Interest: PhD and Postdoctoral Research in Calculus of Variations, Optimal Transport and Quantum Physics (IMPA) (deadline: 31 Dec 2026)
- PhD Position at University Carlos III of Madrid (deadline: 31 Dec 2026)
- Postdoc position in GMT at IMPAN, Warsaw (deadline: 31 Dec 2026)
- Project Scientist at the Pi Center (IMPA, Rio de Janeiro) (deadline: 15 Jan 2027)
Forthcoming Seminars
- 19 Nov 2026: F. Rindler: Concentration Phenomena, the Vanishing Mass Conjecture, and an anisotropic Michael-Simon inequality
Forthcoming Events
- 28 Sep - 27 Nov 2026: Doc-Course on "PDEs: Theoretical and Numerical Analysis and Control" Seville
- 25 Oct - 4 Dec 2026: Intensive Research Program - Analysis of free boundary problems Barcelona
- 13 Nov - 14 Dec 2026: INDAM Online Seminar Series - Lean, Formalized Mathematics and AI‑Assisted Discovery
- 22 - 27 Nov 2026: Oberwolfach Seminar: Mathematical Developments in Magnetohydrodynamics and Dynamo Theory Oberwolfach MFO
- 23 - 27 Nov 2026: Optimal Transportation and Applications CRM De Giorgi Pisa
- 23 - 27 Nov 2026: Structural and Geometric Features of PDE & Systems Będlewo
- 25 - 27 Nov 2026: Three days on p-Laplacian Centro Congressi Federico II, Room A, Via Partenope 36, 80121, Naples
- 27 - 27 Nov 2026: An autumn day in Calculus of Variations & Applications DIMAI, Florence
- 30 Nov - 3 Dec 2026: Tenerife Nonlocal PDE Days Universidad de La Laguna, Tenerife, Spain
- 30 Nov - 1 Dec 2026: A two-day journey through the Willmore energy landscape University of Salzburg
- 1 - 4 Dec 2026: Modern trends in Operator Theory and Geometric Analysis CRM Ennio De Giorgi, Pisa
- 7 - 11 Dec 2026: African Research School on Optimal Transport AIMS Senegal
- 9 - 11 Dec 2026: Junior Math Days 2026 SISSA, Trieste
- 14 - 14 Dec 2026: Bridging Analysis and Geometry Dipartimento di Matematica, Politecnico di Milano
- 16 - 18 Dec 2026: Calculus of Variations: a conference in honor of Andrea Braides' 65th birthday SISSA (Trieste)
- 17 - 18 Dec 2026: Modern Approaches to Calculus Of Variations and Applications - MACOVA Convitto Palmieri, Lecce
- 4 - 8 Jan 2027: Geometric Analysis Days CIRM, Luminy
- 18 Jan - 24 Mar 2027: Intensive Research Period: "Geometric and Functional Inequalities, Minimal Surfaces, Geometric Flows, and their Applications" at the University of Milan Università degli Studi di Milano
- 18 - 20 Jan 2027: Black Swan Academy of Mathematics Conference on Bushfire Dynamics Perth, Australia
- 18 - 22 Jan 2027: Short-term Program in GMT: Multiple-valued functions Westlake University (Yungu Campus), Hangzhou, Zhejiang, China
- 21 - 22 Jan 2027: Calculus of Variations, Optimization and Image Processing- On the occasion of Antonin Chambolle's 60th birthday
- 1 - 5 Feb 2027: XXXVI Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 1 - 5 Feb 2027: Analysis, PDEs and Free Boundary Problems Praça da Criatividade, Óbidos, Portugal
- 2 - 5 Mar 2027: Towards new horizons in Nonlocal Variational Problems and Partial Differential Equations Ciudad Real, Spain
- 19 - 23 Apr 2027: Sub-Riemannian geometry and related fields: current trends and open problems Institut Henri Poincaré
- 2 - 5 May 2027: SIAM Conference on Mathematical Aspects of Materials Science (MS27) Bellevue, Washington, U.S. Hyatt Regency Bellevue
- 24 - 28 May 2027: New Horizons in the Calculus of Variations and Its Applications Carnegie Mellon University, Pittsburgh, PA, USA
- 30 May - 5 Jun 2027: Spring School on Analysis 2027: Function Spaces and Applications XIV Paseky nad Jizerou, Czech Republic
- 7 - 11 Jun 2027: INdAM School - Rome 2027: New Perspectives on Variational and Geometric Problems INdAM Rome
- 19 - 23 Jul 2027: Summer school on Calculus of Variations Cluster of Excellence Mathematics Münster
- 6 - 9 Sep 2027: Calculus of Variations and Applied Analysis in Linz Linz (Austria)
Recently Added Papers
- M. Eleuteri - S. Perrotta - G. Treu (Preprint)
Local Lipschitz continuity for energy integrals under unified general growth of fast and slow type 🔵 (2026) - E. Continelli - N. De Bernardi - H. J. Lam - A. R. Mészáros (Preprint)
On Monotonicity in Mean Field Games Induced by Discount Factor Transformations 🟢 (2026) - L. Boccardo - M. A. Palladino - M. Picerni (J. Convex Anal.)
Mosco-convergence of convex sets and unilateral problems for differential operators with lower order terms having natural growth 🟢 (2027) - A. Garroni - M. A. Palladino (preprint)
Non-local phase transition models for partial singularities (2026) - K. Lin (preprint)
Geodesically Semiconvex Approximations in the Wasserstein Space and Applications to Flow Interchange 🔵 (2026) - A. Pinamonti - T. Rossi (Preprint)
Integrability of the horizontal mean curvature near characteristic points in the Heisenberg group (2026) - D. Carazzato - A. Pratelli (preprint)
Non-connected minimal clusters of small volume in a compact Finsler manifold (2026) - M. Caponi - M. Di Francesco - E. Radici (preprint)
The variational formulation of the follow-the-leader model 🔵 (2026) - A. Nifa (Preprint)
Prime periods of geodesics on Besse manifolds of complex projective type (2026) - G. Di Fratta - C. Muratov - T. M. Simon - V. Slastikov (preprint)
Uniqueness and radial symmetry of magnetic skyrmions (2026) - G. Bartoli - G. Saracco (Submitted Paper)
Admissible geometries for Talenti's Pólya–Szegő principle (2026) - G. Gu - A. Jevnikar - Z. Yang (preprint)
On symmetry and monotonicity of singular solutions to critical fractional Hartree equations (2026) - A. Nifa (Preprint)
Spheres and projective spaces determined by the one-form spectrum (2026) - M. Novaga (Preprint)
Non-migration for planar elastic flows 🟠 (2026) - A. Braides (Lecture Notes)
A Game of Scales (2026) - H. Castro - A. Zuniga (preprint)
Sharp Weighted Hardy-Type Inequalities for Homogeneous Magnetic Potentials (2026) - S. Dipierro - O. Savin - E. Valdinoci - R. Villa (Submitted Paper)
Solutions of the space-fractional heat equation with polynomial growth: Liouville theorems and Schauder estimates (2026) - F. Ancona - A. Cesaroni - E. Marconi (Submitted Paper)
Balance laws with measure valued source for commuting dynamics (2026) - F. P. Maiale (Submitted Paper)
Euler discretizations, invariant faces and brackets for lower exponents of positive switched systems 🟡 (2026) - C. De Lellis - J. Hirsch - Z. Linh - L. Spolaor (Preprint)
Stationary varifolds with singularities II (2026) - C. De Lellis - F. Glaudo (Preprint)
Boundary Plateau Laws II (2026) - C. De Lellis - F. Glaudo (Preprint)
Boundary Plateau Laws I (2026) - G. Anastasi - F. Cagnetti - M. Morini (Submitted Paper)
Anisotropic Minkowski flows: well-posedness and asymptotic behaviour (2026) - A. Corbisiero - C. Leone - C. Mantegazza (Submitted Paper)
Quasiconvexity and Lower Semicontinuity in the Riemannian Setting 🔵 (2026) - M. Cavalcante - N. De Nitti (Preprint)
Dynamics of solutions to the Korteweg–de Vries equation on a $\mathcal{Y}$-junction (2026) - A. Nifa (Preprint)
Spectral resolution and rigidity of spherical space forms (2026) - L. Rizzi - G. Rovelli (preprint)
Topology and regularity of small sub-Riemannian balls under an index condition (2026) - M. Agnoletto - M. F. Da Silva - S. Nardulli - R. Resende (Preprint)
The generalized Cartan-Hadamard conjecture 🟠 (2026) - R. Cristoferi - L. D'Elia (preprint)
Quasi-crystalline phase separation in one dimension (2026) - C. Mantegazza (Note)
Intelligenza artificiale e matematica: i successi visibili, i fallimenti nascosti e la collaborazione necessaria 🔵 (2026) - C. Mantegazza (Note)
Chi ha paura dei supermatematici? - Who is afraid of supermathematicians? 🔵 (2026) - C. Mantegazza (Note)
L’avidità salverà la matematica (i matematici)? - Will greed save mathematics (mathematicians)? 🔵 (2026) - N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (preprint)
Klein-Gordon-Born-Infeld equations driven by mixed local-nonlocal operators 🔵 (2026) - M. Goldman - M. Novaga - B. Ruffini (Preprint)
The fractional Faber-Krahn inequality in sharp quantitative form (2026) - M. Goldman - M. Novaga - B. Ruffini (Preprint)
Second variation of the fractional torsion energy and linear stability of the ball (2026) - Z. Li - E. Pasqualetto - X. Qian (preprint)
Lipschitz volume rigidity for non-collapsed $\rm RCD$ spaces with boundary (2026) - A. Nifa (Preprint)
Spectral identities and closed-geodesic periods (2025) - G. Di Fratta - A. Fiorenza - L. Happ (preprint)
A fractional modular Poincaré--Wirtinger-type inequality in Sobolev spaces with variable exponents (2026) - N. Gigli (Preprint)
The value of mathematicians in the AI age (2026)
Recently Modified Papers
- E. Stepanov - Y. Teplitskaya (Preprint)
A planar set that can be connected by arbitrarily short sets but by no zero-length set 🟡 (2026) - M. Drakhlin - E. Litsyn - A. Ponosov - E. Stepanov (J. Nonlinear & Convex Anal.)
Generalizing the property of locality: atomic/coatomic operators and applications 🟢 (2006) - G. Buttazzo - A. Pratelli - S. Solimini - E. Stepanov (Springer Lecture Notes in Mathematics)
Optimal urban networks via mass transportation 🟢 (2009) - G. Alberti - A. Massaccesi - E. Stepanov (J. Diff. Geom.)
On the geometric structure of currents tangent to smooth distributions 🟢 (2022) - C. Rigoni - E. Stepanov - D. Trevisan (J. London Math. Soc.)
Lie brackets of nonsmooth vector fields and commutation of their flows 🟢 (2020) - E. Stepanov - D. Trevisan (J. Funct. Anal.)
Three superposition principles: currents, continuity equations and curves of measures 🟢 (2017) - G. Buttazzo - E. Stepanov (SIAM J. Control Optim.)
On regularity of transport density in the Monge-Kantorovich problem 🟢 (2003) - A. Kroshnin - T. Ma - E. Stepanov (Preprint)
On the signature of squared distance matrices of metric measure spaces 🟢 (2025) - A. Brancolini - G. Buttazzo - F. Santambrogio - E. Stepanov (ESAIM Control Optim. Calc. Var.)
Long-term planning versus short-term planning in the asymptotical location problem 🟢 (2009) - A. Kroshnin - E. Stepanov - D. Trevisan (ESAIM: COCV)
Infinite multidimensional scaling for metric measure spaces 🟢 (2022) - G. Buttazzo - F. Santambrogio - E. Stepanov (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
Asymptotic optimal location of facilities in a competition between population and industries 🟢 (2013) - E. Stepanov (Proc. Edunburgh Math. Soc.)
Representation of atomic operators and extension problems 🟢 (2004) - E. Stepanov (J. Math. Sci. (N.Y.))
Partial geometric regularity of some optimal connected transportation networks 🟢 (2006) - A. Chambolle - J. Lamboley - A. Lemenant - E. Stepanov (SIAM J. Math. Anal.)
Regularity for the optimal compliance problem with length penalization 🟢 (2017) - E. Stepanov - Y. Teplitskaya (J. London Math. Soc.)
Self-contracted curves have finite length 🟢 (2017) - E. Stepanov - P. Tilli (Proc. Royal Soc. Edinburgh - Ser. A. (Mathematics))
On the Dirichlet problem with several volume constraints on the level sets 🟢 (2002) - E. Stepanov (J. Nonlinear and Convex Anal.)
Relaxation of optimal control problems with shifted controls 🟢 (2002) - E. Stepanov - D. Trevisan (J. Geom. Anal.)
Towards geometric integration of rough differential forms 🟢 (2020) - A. Ponosov - E. Stepanov (International conference on fixed point theory and its applications (Valencia, 2003), G.G. Falset, E.L Fuster, B. Sims (ed.), Yokohama publishers, Yokohama )
Invariant measures for generalized random dynamical systems 🟢 (2004) - M. Izydorek - J. Janczewska - S. Kryzhevich - E. Stepanov (Preprint)
Constructive nonholonomic controllability of control affine systems on compact manifolds 🟢 (2023) - N. Puchkin - V. Spokoiny - E. Stepanov - D. Trevisan (Accepted Paper: ESAIM: COCV)
Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances 🟢 (2020) - T. Guo - N. Karagodin - E. Stepanov (Information and Inference: A Journal of the IMA)
Optimal functional product quantization 🟢 (2023) - M. Drakhlin - A. Ponosov - E. Stepanov (Proc. Edinburgh Math. Soc.)
On some classes of operators determined by the structure of their memory 🟢 (2002) - S. Kryzhevich - E. Stepanov (J. Differential Equations)
The saga of a fish: from a survival guide to closing lemmas 🟢 (2019) - A. Kroshnin - E. Stepanov (Preprint)
Tropical optimal transportation and large deviations principle 🟢 (2026) - S. Kryzhevich - E. Stepanov - D. Trevisan (Preprint)
Chow and Rachevsky meet Sobolev 🟢 (2025) - A. Ponosov - E. Stepanov (SIAM J. Control and Optimization)
Smooth dynamics becomes hybrid in the limit 🟢 (2017) - S. Kryzhevich - E. Stepanov (J. Convex Anal.)
Minimal points and non-holonomic controlability on compact manifolds 🟢 (2027) - V. Magnani - E. Stepanov - D. Trevisan (J. Lond. Math. Soc.)
A rough calculus approach to level sets in the Heisenberg group 🟢 (2018) - G. Buttazzo - E. Stepanov (Ann. Sc. Norm. Sup. Pisa Cl. Sci.)
Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem 🟢 (2003) - E. Stepanov (J. Math. Sciences (N.Y.))
Rectifiability of metric flat chains and fractional masses 🟢 (2010) - G. Buttazzo - E. Stepanov (Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi, D. Pallara (ed.), Quaderni di Matematica, Seconda Universit\`{a} di Napoli, Caserta)
Minimization problems for average distance functionals 🟢 (2004) - G. Alberti - E. Stepanov - D. Trevisan (Accepted Paper: J. Funct. Anal.)
Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to Itô and Stratonovich 🟢 (2019) - P. Barrios - S. Mayorga - E. Stepanov (Zapiski Nauchnykh Seminarov POMI)
On a discrete max-plus transportation problem 🟢 (2024) - E. Stepanov (Proc. Amer. Math. Soc.)
Relaxation and convexity of functionals with pointwise nonlocality 🟢 (2002) - G. Buttazzo - E. Mainini - E. Stepanov (Control Cybernet.)
Stationary configurations for the average distance functional and related problems 🟢 (2009) - A. Ponosov - E. Stepanov (St. Petersburg Math. J)
Atomic operators, random dynamical systems and invariant measures 🟢 (2014) - V. Georgiev - E. Stepanov (Discrete Contin. Dyn. Syst.)
Metric cycles, curves and solenoids 🟢 (2014) - E. Stepanov - A. Zdorovtsev (J. Convex Anal.)
Relaxation of some nonlocal integral functionals in weak topology of Lebesgue spaces 🟢 (2001) - T. Ma - E. Stepanov (Information and Inference: A Journal of the IMA)
On eigenvalues and eigenfunctions of the operators defining multidimensional scaling on some symmetric spaces 🟢 (2025) - L. De Pascale - E. Stepanov (Trans. Amer. Math. Soc.)
Weak and strong density of compositions 🟢 (2000) - G. Buttazzo - E. Stepanov (Discrete Contin. Dyn. Syst. )
Transport density in Monge-Kantorovich problems with Dirichlet conditions 🟢 (2005) - G. Buttazzo - E. Oudet - E. Stepanov (Progress in Nonlinear Diff. Equations and their Applications)
Optimal transportation problems with free Dirichlet regions 🟢 (2002) - S. Kryzhevich - E. Stepanov (Tchemisova, T.V., Torres, D.F.M., Plakhov, A.Y. (eds) Dynamic Control and Optimization. DCO 2021. Springer Proceedings in Mathematics & Statistics)
Constructive controllability for incompressible vector fields 🟢 (2021) - G. Buttazzo - A. Pratelli - E. Stepanov (SIAM J. Opt)
Optimal pricing policies for public transportation networks 🟢 (2006) - M. Novaga - A. Sobolevski - E. Stepanov (Pacific J. Math.)
Droplet condensation and isoperimetric towers 🟢 (2013) - E. Stepanov - D. Trevisan (J. Differential Equations)
On exterior differential systems involving differentials of Hölder functions 🟢 (2022) - K. Bessas - S. Guarino Lo Bianco - R. Schiattarella (Accepted Paper: Nonlinear Analysis)
Generalized BMO-type seminorms and vector-valued Sobolev functions 🟢 (2027) - K. Bessas - M. Novaga - F. Onoue (ESAIM Control Optim. Calc. Var.)
On the shape of small liquid drops minimizing nonlocal energies 🟢 (2023) - K. Bessas (Nonlinear Analysis)
Fractional total variation denoising model with $L^1$ fidelity 🟢 (2022) - K. Bessas - G. Stefani (Adv. Calc. Var.)
Non-local $BV$ functions and a denoising model with $L^1$ fidelity 🟢 (2025) - K. Bessas - G. C. Brusca (La Matematica)
A note on non-local Sobolev spaces and non-local perimeters 🟢 (2025) - C. Gambicchia - A. Pratelli - C. Torres Latorre (Preprint)
On the minimizer of the barycentric isoperimetric ratio among connected planar sets 🔵 (2026) - C. Gambicchia (Accepted Paper)
The double spherical cap rearrangement of planar sets 🟢 (2025) - C. Gambicchia - A. Pratelli (Accepted Paper)
The sharp quantitative barycentric isoperimetric inequality for bounded sets 🟢 (2024) - S. Almi - D. Reggiani - F. Solombrino (Nonlinear Analysis)
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity 🟢 (2025) - D. Reggiani - C. I. Zeppieri (Preprint)
Stochastic homogenisation of strongly anisotropic degenerate integral functionals 🟢 (2025) - S. Almi - D. Reggiani - F. Solombrino (Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM))
Brittle membranes in finite elasticity 🟢 (2023) - S. Almi - D. Reggiani - F. Solombrino (Calculus of Variations and Partial Differential Equations)
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth 🟢 (2024) - M. Cicalese - D. Reggiani - F. Solombrino (Interfaces and Free Boundaries)
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^1$ to $S^2$ limit 🟢 (2026) - N. P. Melillo - D. Reggiani (Accepted Paper: SIAM Journal on Mathematical Analysis)
Fractured membranes under determinant constraints: the case of cohesive surface energies 🔵 (2026) - M. G. Mora - L. Rondi - L. Scardia - E. G. Tolotti (SIAM Journal on Mathematical Analysis)
Nonlocal anisotropic Riesz interactions with a physical confinement 🟢 (2026) - E. G. Tolotti (Journal of Nonlinear Science)
On the hierarchy of plate models for a singularly perturbed multi-well nonlinear elastic energy 🟢 (2025) - E. G. Tolotti (ESAIM: Control, Optimisation and Calculus of Variations)
Stability of the Von Kármán regime for thin plates under Neumann boundary conditions 🟢 (2024) - E. G. Tolotti (Ph.D. Thesis)
Variational problems in materials science: thin structures and defect patterns 🟢 (2025) - L. Scardia - E. G. Tolotti (Journal of Elasticity)
Read--Shockley formula for a general Bravais lattice in two dimensions 🟢 (2026) - D. Reggiani (Preprint)
Global minimality of lamellae for isotropic Ohta--Kawasaki and Yukawa energies 🔴 (2026) - G. Somma - S. Verzellesi - D. Vittone (Preprint)
Transport and flow for horizontal Sobolev contact velocities in Carnot groups 🟢 (2026) - M. Di Marco - G. Somma - D. Vittone (Anal. Geom. Metr. Spaces)
A note on the diameter of small sub-Riemannian balls 🟢 (2026) - L. Ambrosio - S. Bianchini - F. Renzi - F. Vitillaro (Preprint)
Non-branching properties of Regular Lagrangian Flows and well posedness of the continuity equation in the class of nonnegative solutions 🔵 (2026) - F. Riva (ESAIM:COCV)
From cohesive to brittle debonding: the quasistatic framework 🟢 (2026) - F. Riva (Nonlinear Analysis: Real World Applications)
Energetic evolutions for linearly elastic plates with cohesive slip 🟢 (2023) - F. Riva - E. Rocca (SIAM Journal on Mathematical Analysis)
A rigorous approach to the sharp interface limit for phase-field models of tumor growth 🟢 (2025) - G. Lazzaroni - R. Molinarolo - F. Riva - F. Solombrino (Interfaces Free Bound.)
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding 🟢 (2023) - M. G. Mora - F. Riva (Proc. Roy. Soc. Edinburgh Sect. A)
Pressure live loads and the variational derivation of linear elasticity 🟢 (2022) - F. Freddi - F. Riva (Mathematics in Engineering)
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates 🟢 (2025) - F. Riva - L. Nardini (Journal of Evolution Equations)
Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping 🟢 (2020) - T. H. Giang - F. Riva (Preprint)
Von Kàrmàn theories for thin elastic shells subject to pressure 🟢 (2026) - E. Maggiorelli - F. Riva - E. G. Tolotti (Mathematical Models and Methods in Applied Sciences)
A free boundary approach to the quasistatic evolution of debonding models 🟢 (2026) - A. Pinzi - F. Riva - G. Savaré (preprint)
A direct method for doubly nonlinear equations via convexification in spaces of measures and duality 🟢 (2026) - F. Riva - G. Scilla - F. Solombrino (Adv. Calc. Var.)
The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems 🟢 (2023) - E. Bonetti - C. Cavaterra - F. Freddi - F. Riva (Mathematical Methods in the Applied Sciences)
On a phase field model of damage for hybrid laminates with cohesive interface 🟢 (2021) - P. Gidoni - F. Riva (Calculus of Variations and Partial Differential Equations)
A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers 🟢 (2021) - D. Mazzoleni - E. Radici - F. Riva (Discrete and Continuous Dynamical Systems)
On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation 🟢 (2026) - F. Riva (Milan Journal of Mathematics)
A continuous dependence result for a dynamic debonding model in dimension one 🟢 (2019) - M. Kruzik - F. Riva (Journal of Nonlinear Science)
The effects of pressure loads in the dimension reduction of elasticity models 🟢 (2026) - F. Riva - G. Scilla - F. Solombrino (Journal of Functional Analysis)
Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems 🟢 (2025) - F. Riva (Ph.D. Thesis)
On the quasistatic limit of some dynamical problems with dissipative terms 🟢 (2020) - F. Riva (Journal of Nonlinear Science)
On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity 🟢 (2020) - E. Bruè - M. Calzi - G. E. Comi - G. Stefani (C. R. Math.)
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II 🟢 (2022) - G. E. Comi - G. P. Leonardi (Nonlinear Analysis)
Measures in the dual of $BV$: perimeter bounds and relations with divergence-measure fields 🟢 (2024) - G. P. Leonardi - G. E. Comi (preprint)
The prescribed mean curvature measure equation in non-parametric form 🟢 (2023) - G. E. Comi - G. Stefani (Boll. Unione Mat. Ital.)
Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula 🟢 (2024) - G. E. Comi (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
$BMO$-type norms and anisotropic surface measures 🟢 (2018) - G. E. Comi - V. Magnani (Adv. Math.)
The Gauss-Green theorem in stratified groups 🟢 (2020) - G. E. Comi - G. Crasta - V. De Cicco - A. Malusa (Journal of Functional Analysis)
Representation formulas for pairings between divergence-measure fields and $BV$ functions 🟢 (2023) - G. E. Comi - G. Stefani (Conference proceedings of the workshop "Anisotropic Isoperimetric Problems & Related Topics" held in Rome, 5-9 Sept 2022.)
On sets with finite distributional fractional perimeter 🟢 (2024) - G. E. Comi - V. De Cicco - G. Scilla (Accepted Paper: Communications in Contemporary Mathematics)
Beyond $BV$: new pairings and Gauss-Green formulas for measure fields with divergence measure 🟢 (2026) - G. E. Comi - M. Torres (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
One-sided approximation of sets of finite perimeter 🟢 (2017) - G. E. Comi - G. Stefani (Rev. Mat. Complut.)
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I 🟢 (2022) - G. E. Comi - D. Spector - G. Stefani (Fract. Calc. Appl. Anal.)
The fractional variation and the precise representative of $BV^{\alpha,p}$ functions 🟢 (2022) - G. Q. Chen - G. E. Comi - M. Torres (Arch. Ration. Mech. Anal.)
Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets 🟢 (2019) - G. E. Comi - G. Stefani (Port. Math.)
Failure of the local chain rule for the fractional variation 🟢 (2023) - G. E. Comi - G. Stefani (Journal of Functional Analysis)
A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up 🟢 (2019) - G. E. Comi (Ph.D. Thesis)
Refined Gauss-Green formulas and evolution problems for Radon measures 🟢 (2020) - G. E. Comi - K. R. Payne (Adv. Calc. Var.)
On locally essentially bounded divergence measure fields and sets of locally finite perimeter 🟢 (2017) - V. Buffa - G. E. Comi - M. Miranda Jr (Rev. Mat. Iberoamericana)
On $BV$ functions and essentially bounded divergence-measure fields in metric spaces 🟢 (2021) - G. E. Comi - G. Stefani (J. Math. Anal. Appl.)
Leibniz rules and Gauss-Green formulas in distributional fractional spaces 🟢 (2022) - A. Cesaroni - M. Novaga (Preprint)
The truncated octahedron minimizes surface area among parallelohedra of equal volume (2026) - A. Cesaroni - M. Novaga (Preprint)
The rhombic dodecahedral conjecture (2026) - M. Eleuteri - J. Habermann (Accepted Paper: Math. Nachr.)
A Hölder continuity result for a class of obstacle problems under non standard growth conditions 🟢 (2011) - M. Eleuteri - J. Habermann (Accepted Paper: J. Math. Anal. Appl.)
Regularity results for a class of obstacle problems under non standard growth conditions 🟢 (2008) - M. Eleuteri (Accepted Paper: Boll. Unione Mat. Ital.)
Hölder continuity results for a class of functionals with non standard growth 🟢 (2004) - M. Eleuteri - L. Lussardi - A. Torricelli - E. Zappale (Accepted Paper: Nonlinear Analysis: Real World Applications)
Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces 🟢 (2026) - M. Eleuteri - L. Lussardi - U. Stefanelli (Accepted Paper: Netw. Heterog. Media)
A rate-independent model for permanent inelastic effects in shape memory materials 🟢 (2011) - M. Eleuteri - F. Prinari (Accepted Paper: Nonlinear Analysis: RealWorld Applications)
$Γ$-convergence for power-law functionals with variable exponents 🟢 (2021) - M. Eleuteri - P. Harjulehto - T. Lukkari (Accepted Paper: Complex Var. Elliptic Equ.)
Global regularity and stability of solutions to elliptic equations with nonstandard growth 🟢 (2011) - L. D'Elia - M. Eleuteri - E. Zappale (Accepted Paper: Analysis and Applications)
Homogenization of supremal functionals in vectorial setting (via power-law approximation) 🟢 (2024) - M. Eleuteri (Accepted Paper: Appl. Math.)
Regularity results for a class of obstacle problems 🟢 (2007) - M. Eleuteri - F. Prinari - E. Zappale (Accepted Paper: Mathematical Models and Methods in Applied Sciences)
Asymptotic analysis of thin structures with point dependent energy growth 🟢 (2024) - O. Bottauscio - V. Chiadò Piat - M. Eleuteri - L. Lussardi - A. Manzin (Accepted Paper: Physica B)
Homogenization of random anisotropy properties in polycrystalline magnetic materials 🟢 (2012) - M. Eleuteri - L. Lussardi - U. Stefanelli (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S.)
Thermal control of the Souza-Auricchio model for shape memory alloys 🟢 (2013) - O. Bottauscio - V. Chiadò Piat - M. Eleuteri - L. Lussardi - A. Manzin (Accepted Paper: Math. Models Meth. Appl. Sci.)
Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: theoretical aspects and numerical analysis 🟢 (2013) - M. Eleuteri - L. Lussardi - A. Torricelli (Accepted Paper: ESAIM COCV)
Asymptotic analysis of a family of non-local functionals on sets 🟢 (2023) - M. Eleuteri - L. Lussardi (Accepted Paper: Evolution Equations and Control Theory)
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials 🟢 (2014) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Potential Analysis)
Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth 🟢 (2025) - M. Eleuteri - S. Perrotta - G. Treu (Accepted Paper: Nonlinear Analysis: Real World Applications)
Local Lipschitz continuity for energy integrals with slow growth and lower order terms 🟢 (2025) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Nonlinear Analysis: Real World Applications)
Lipschitz regularity of minimizers of variational integrals with variable exponents 🟢 (2023) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Annales Fennici Mathematici)
On the validity of variational inequalities for obstacle problems with non-standard growth 🟢 (2022) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni)
Lipschitz continuity for energy integrals with variable exponents 🟢 (2016) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Annali di Matematica Pura ed Applicata)
Lipschitz estimates for systems with ellipticity conditions at infinity 🟢 (2016) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Calculus of Variations and Partial Differential Equations)
Higher differentiability for solutions to a class of obstacle problems 🟢 (2018) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Discrete and Continuous Dynamical Systems - Series S)
Local lipschitz continuity of minimizers with mild assumptions on the x-dependence 🟢 (2019) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Advances in Calculus of Variations)
Regularity for scalar integrals without structure conditions 🟢 (2020) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Nonlinear Analysis, Theory, Methods and Applications)
Regularity results for a class of non-differentiable obstacle problems 🟢 (2020) - M. Eleuteri - P. Marcellini - E. Mascolo - S. Perrotta (Accepted Paper: Annali di Matematica Pura ed Applicata)
Local Lipschitz continuity for energy integrals with slow growth 🟢 (2022) - M. Eleuteri - P. Harjulehto - P. Hasto (Accepted Paper: Mathematical Methods in the Applied Sciences)
Minimizers of abstract generalized Orlicz-bounded variation energy 🟢 (2024) - M. Eleuteri - P. Harjulehto - P. Hasto (Accepted Paper: Mathematische Zeitschrift)
Bounded variation spaces with generalized Orlicz growth related to image denoising 🟢 (2025) - G. Bertazzoni - M. Eleuteri - E. Zappale (Accepted Paper: Annali di Matematica Pura ed Applicata)
Approximation of L^{\infty} functionals with generalized Orlicz norms 🟢 (2025) - M. Eleuteri - J. Habermann (Accepted Paper: J. Math. Anal. Appl.)
Calderón-Zygmund type estimates for a class of obstacle problems with p(x) growth 🟢 (2010) - M. Eleuteri - P. Harjulehto - T. Lukkari (Accepted Paper: Rev. Mat. Complut.)
Global regularity and stability of solutions to obstacle problems with nonstandard growth 🟢 (2013) - N. Picenni (J. Funct. Anal.)
New estimates for a class of non-local approximations of the total variation 🟢 (2024) - C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (C. R. Math. Acad. Sci. Paris)
On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation 🟢 (2018) - M. Gobbino - N. Picenni (Commun. Contemp. Math.)
On the characterization of constant functions through nonlocal functionals 🟢 (2023) - M. Gobbino - N. Picenni (SIAM J. Math. Anal.)
Monotonicity properties of limits of solutions to the semi-discrete scheme for the Perona-Malik equation 🟢 (2024) - M. Gobbino - N. Picenni (Trans. Amer. Math. Soc.)
A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional 🟢 (2023) - C. Antonucci - M. Gobbino - N. Picenni (Anal. PDE)
On the gap between Gamma-limit and pointwise limit for a non-local approximation of the total variation 🟢 (2020) - N. Picenni (preprint)
Lower bounds and Poincaré inequality for the Brezis-Seeger-Van Schaftingen-Yung functionals 🟢 (2026) - M. Gobbino - N. Picenni (J. Funct. Anal.)
Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms 🟢 (2025) - M. Gobbino - N. Picenni (Calc. Var. PDE)
Multi-scale analysis of minimizers for a second order regularization of the Perona-Malik functional 🟢 (2025) - N. Picenni (ESAIM: COCV)
Staircasing effect for minimizers of the one-dimensional discrete Perona-Malik functional 🟢 (2024) - G. Bellettini - M. Freguglia - N. Picenni (Arch. Ration. Mech. Anal.)
On a conjecture of De Giorgi about the phase-field approximation of the Willmore functional 🟢 (2023) - C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (Anal. PDE)
Optimal constants for a non-local approximation of Sobolev norms and total variation 🟢 (2020) - M. Gobbino - N. Picenni (Calc. Var. PDE)
Symmetry breaking for local minimizers of a free discontinuity problem 🟢 (2026) - G. Bonfanti - E. Davoli - R. Rossi - M. Thomas (Submitted Paper)
From damage to delamination via evolutionary Gamma-convergence in a rate-independent quasibrittle regime 🔵 (2026) - E. Davoli - G. Di Fratta - D. Praetorius - M. Ruggeri (Mathematical Models and Methods in Applied Sciences)
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction 🟢 (2020) - E. Davoli (ESAIM:Control, Optimisation and calculus of variations)
Linearized plastic plate models as $\Gamma$-limits of 3D finite elastoplasticity 🟢 (2012) - E. Davoli (M3AS)
Quasistatic evolution models for thin plates arising as low energy $\Gamma$-limits of finite plasticity 🟢 (2012) - E. Davoli - G. Di Fratta - V. Pagliari (Accepted Paper: Proceedings of the Royal Society of Edinburgh: Sect. A Mathematics)
Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula 🟢 (2023) - G. Bonfanti - E. Davoli - R. Rossi (Accepted Paper: Advances in Calculus of Variations)
A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates 🟢 (2025) - E. Davoli - M. G. Mora (Ann. Inst. H. Poincaré Anal. Non Linéaire)
A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence 🟢 (2013) - E. Davoli - A. Fanizza - M. Picerni (Submitted Paper)
Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters 🟢 (2026) - M. Buzancic - E. Davoli - I. Velčić (Accepted Paper: Advances in Calculus of Variations)
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes 🟢 (2023) - E. Davoli - P. Piovano - U. Stefanelli (Journal of Nonlinear Science)
Sharp $N^{3/4}$ law for the minimizers of the Edge-Isoperimetric Problem on the triangular lattice 🟢 (2016) - L. Bufford - E. Davoli - I. Fonseca (Mathematical Models and Methods in Applied Sciences)
Multiscale Homogenization in Kirchhoff's nonlinear plate theory 🟢 (2015) - E. Davoli - M. Friedrich (Accepted Paper: JEMS)
Two-well linearization for solid-solid phase transitions 🟢 (2022) - E. Davoli - L. Scarpa - L. Trussardi (Accepted Paper: Archive for Rational Mechanics and Analysis)
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms 🟢 (2020) - E. Davoli - K. Nik - U. Stefanelli - G. Tomassetti (Accepted Paper: M3AS)
An existence result for accretive growth in elastic solids 🟢 (2024) - E. Davoli - G. Marino - J. F. Pietschmann - N. Zamponi (Submitted Paper)
Existence and local asymptotics for a system of cross-diffusion equations with nonlocal Cahn-Hilliard terms 🟢 (2024) - E. Davoli - T. Roubicek - U. Stefanelli (ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik)
Dynamic perfect plasticity and damage in viscoelastic solids 🟢 (2019) - E. Davoli - R. Ferreira - C. Kreisbeck - H. Schönberger (Accepted Paper: Applied Mathematics and Optimization)
Structural changes in nonlocal denoising models arising through bi-level parameter learning 🟢 (2023) - E. Davoli - I. Mazari - U. Stefanelli (Accepted Paper: SIAM Journal on Control and Optimization (SICON))
Spectral optimisation of inhomogeneous plates 🟢 (2022) - E. Davoli - I. Fonseca (Portugalia Math.)
Periodic homogenization of integral energies under space-dependent differential constraints 🟢 (2016) - E. Davoli - I. Fonseca (Calc. Var. Partial Differential Equations)
Homogenization of integral energies under periodically oscillating differential constraints 🟢 (2016) - E. Davoli - T. Roubicek - U. Stefanelli (Accepted Paper: Mathematics and Mechanics of Solids)
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains 🟢 (2021) - E. Davoli - P. Piovano - U. Stefanelli (Math. Models Methods Appl. Sci.)
Wulff shape emergence in graphene 🟢 (2016) - E. Davoli - C. Kreisbeck (Accepted Paper: Research in the Mathematics of Materials Science. Springer AWM series)
On static and evolutionary homogenization in crystal plasticity for stratified composites 🟢 (2021) - E. Davoli - R. Ferreira - C. Kreisbeck (Adv. Calc. Var.)
Homogenization in $BV$ of a model for layered composites in finite crystal plasticity 🟢 (2019) - E. Davoli - I. Fonseca - P. Liu (Accepted Paper: Journal of Nonlinear Science)
Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme 🟢 (2023) - E. Davoli - G. Di Fratta - A. Fiorenza - L. Happ (NoDEA)
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents 🟢 (2024) - G. Bertazzoni - E. Davoli - S. Riccò - E. Zappale (Submitted Paper)
Functions of bounded Musielak-Orlicz-type deformation and anisotropic Total Generalized Variation for image-denoising problems 🟢 (2025) - E. Davoli - H. Ranetbauer - L. Scarpa - L. Trussardi (Annales de l'Institut Henri Poincare. Analyse Non Lineaire)
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics 🟢 (2019) - S. Almi - E. Davoli - M. Friedrich (Accepted Paper: J. Math Pure Appl.)
Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture 🟢 (2022) - E. Davoli - G. Di Fratta - R. Giorgio - A. Pinamonti (Preprint)
Necessary and Sufficient Conditions for the Mazya--Shaposhnikova Formula in (Fractional) Sobolev Spaces 🟢 (2025) - E. Davoli - R. Ferreira - I. Fonseca - J. A. Iglesias (Journal of Mathematical Imaging and Vision)
Dyadic partition-based training schemes for TV/TGV denoising 🟢 (2024) - E. Davoli - E. Rocca - L. Scarpa - L. Trussardi (Submitted Paper)
Local asymptotics and optimal control for a viscous Cahn-Hilliard-reaction-diffusion model for tumor growth 🟢 (2023) - E. Davoli - U. Stefanelli (SIAM Journal on Mathematical Analysis)
Dynamic perfect plasticity as convex minimization 🟢 (2019) - E. Davoli - G. A. Francfort (SIAM Journal of Mathematical Analysis)
A critical revisiting of finite elasto-plasticity 🟢 (2014) - E. Davoli - M. G. Mora (Calc. Var. Partial Differential Equations)
Stress regularity for a new quasistatic evolution model of perfectly plastic plates 🟢 (2015) - E. Davoli - L. Scarpa - L. Trussardi (Accepted Paper: Journal of Differential Equations)
Local asymptotics for nonlocal convective Cahn-Hilliard equations with $W^{1,1}$ kernel and singular potential 🟢 (2021) - M. Buzancic - E. Davoli - I. Velčić (Accepted Paper: Calc. Var. PDEs)
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure 🟢 (2022) - E. Davoli - M. Kruzik - P. Pelech (Accepted Paper: Nonlinear Analysis: Theory, Methods and Applications)
Separately global solutions to rate-independent processes in large-strain inelasticity 🟢 (2020) - E. Davoli - K. Nik - U. Stefanelli (Accepted Paper: ZAMM- Zeitschrift für Angewandte Mathematik und Mechanik)
Existence results for a morphoelastic model 🟢 (2021) - E. Davoli - J. Deutsch - M. Friedrich - K. Stinson (preprint)
Solid-solid phase transitions with space-dependent wells 🟢 (2026) - E. Davoli - L. D'Elia - J. Ingmanns (Accepted Paper: Journal of Nonlinear Science)
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions 🟢 (2023) - S. Almi - E. Davoli - A. Kubin - E. Tasso (Accepted Paper: Calc. Var. Partial Differential Equations)
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case 🟢 (2026) - E. Davoli - P. Liu (Communications in Mathematical Sciences)
One dimensional fractional order TGV: Gamma-convergence and bi-level training scheme 🟢 (2017) - E. Davoli - G. Di Fratta (Journal of Nonlinear Science)
Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures 🟢 (2019) - E. Davoli - U. Stefanelli (Accepted Paper: Journal of Differential Equations)
Level sets of solutions to the stationary Hamilton-Jakobi equation are John regular 🟢 (2026) - E. Davoli - C. Gavioli - V. Pagliari (Accepted Paper: Calc. Var. PDEs)
A homogenization result in finite plasticity 🟢 (2024) - E. Davoli - L. Happ (Accepted Paper: Advances in Calculus of Variations)
Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory 🟢 (2024) - M. Bresciani - E. Davoli - M. Kruzik (Annales de l'Institut Henri Poincaré / Analyse Nonlinéaire)
Existence results in large-strain magnetoelasticity 🟢 (2023) - M. Bonacini - E. Davoli - M. Morandotti (NoDEA)
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films 🟢 (2019) - E. Davoli - P. Piovano (M3AS)
Analytical validation of the Young-Dupré law for epitaxially-strained thin films 🟢 (2018) - E. Davoli - P. Piovano (Interfaces and Free Boundaries)
Derivation of a heteroepitaxial thin-film model 🟢 (2020) - E. Davoli - C. Kuehn - L. Scarpa - L. Trussardi (Submitted Paper)
Local asymptotics for the nonlocal Swift-Hohenberg equation 🟢 (2025) - E. Davoli - G. Di Fratta - R. Giorgio (SIAM Journal on Mathematical Analysis (SIMA))
A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions 🟢 (2024) - E. Davoli - C. Gavioli - V. Pagliari (Accepted Paper: Nonlinear Analysis: Real World Applications)
Homogenization of high-contrast media in finite-strain elastoplasticity 🟢 (2025) - E. Davoli - A. Molchanova - U. Stefanelli (Accepted Paper: SIAM J. Math. Anal. (SIMA))
Equilibria of charged hyperelastic solids 🟢 (2021) - E. Davoli - M. Friedrich (Calc. Var. Partial Differential Equations)
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions 🟢 (2020) - E. Davoli - M. G. Mora (Proc. Roy. Soc. Edinburgh Sect. A)
Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density 🟢 (2012) - E. Davoli - M. Kruzik - V. Pagliari (Accepted Paper: Adv. Calc. Var.)
Homogenization of high-contrast composites under differential constraints 🟢 (2022) - E. Davoli - C. Gavioli - L. Lombardini (Accepted Paper: Nonlinear Analysis, Theory, Methods, and Applications)
Existence results for Cahn-Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels 🟢 (2024) - E. Davoli - E. Tasso (Submitted Paper)
Non-local non-homogeneous phase transitions: regularity of optimal profiles and sharp-interface limit 🟢 (2024) - E. Davoli (Adv. Calc. Var.)
Thin-walled beams with a cross-section of arbitrary geometry: derivation of linear theories starting from 3D nonlinear elasticity 🟢 (2012) - M. Cherdantsev - E. Davoli - L. D'Elia - S. Riccò (Preprint)
Homogenization and linearization in magnetoelasticity under small elastic response 🟢 (2025) - E. Davoli - M. Kruzik - P. Piovano - U. Stefanelli (Continuum Mech. Thermodyn.)
Magnetoelastic thin films at large strains 🟢 (2021) - E. Davoli - I. Fonseca (Trends in Applications of Mathematics to Mechanics.)
Relaxation of p-growth integral functionals under space-dependent differential constraints 🟢 (2018) - S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (Commun. Pure Appl. Anal.)
Second order elliptic operators in $L^2$ with first order degeneration at the boundary and outward pointing drift 🟢 (2015) - S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (J. Math. Anal. Appl.)
One-dimensional degenerate operators in $L^p$-spaces 🟢 (2013) - S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (J. Diff. Eq.)
Degenerate operators of Tricomi type in $L^p$-spaces and in spaces of continuous functions 🟢 (2012) - S. Fornaro - G. Metafune - D. Pallara (Note Mat.)
Analytic semigroups generated in $L^p$ by elliptic operators with high order degeneracy at the boundary 🟢 (2011) - S. Fornaro - G. Metafune - D. Pallara - J. Prüss (J. Math. Pures Appl.)
$L^p$-theory for some elliptic and parabolic problems with first order degeneracy at the boundary 🟢 (2007) - M. Miranda Jr - M. Novaga - D. Pallara (Advanced Studies in Pure Mathematics)
An introduction to BV functions in Wiener spaces 🟢 (2015) - S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (J. Funct. Anal.)
$L^p$-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators 🟢 (2021) - M. Miranda Jr - D. Pallara - F. Paronetto - M. Preunkert (Ann. Fac. Sci. Toulouse Math.)
Short-time Heat Flow and Functions of Bounded Variation in $R^N$ 🟢 (2007) - W. Arendt - G. Metafune - D. Pallara - S. Romanelli (Semigroup Forum)
The Laplacian with Wentzell-Robin Boundary Conditions on Spaces of Continuous Functions 🟢 (2003) - G. Metafune - D. Pallara - J. Prüss - R. Schnaubelt (Zeitschrift fur Analysis und ihre Anwendungen)
$L^p$ -THEORY FOR ELLIPTIC OPERATORS ON $R^d$ WITH SINGULAR COEFFICIENTS 🟢 (2005) - P. Cannarsa - G. Da Prato - G. Metafune - D. Pallara (Rend. Acc. Lincei)
Maximal regularity for gradient systems with boundary degeneracy 🟢 (2015) - L. Angiuli - S. Ferrari - D. Pallara (Journal of Theoretical Probability)
Functional inequalities for some generalised Mehler semigroups 🟢 (2023) - M. Bramanti - M. Miranda Jr - D. Pallara (Int. Math. Res. Notices)
Two characterization of BV functions on Carnot groups via the heat semigroup 🟢 (2012) - S. Fornaro - N. Fusco - G. Metafune - D. Pallara (Proc. Roy. Soc. Edinburgh)
Sharp upper bounds for the density of some invariant measures 🟢 (2009) - M. Miranda Jr - D. Pallara - F. Paronetto - M. Preunkert (Ricerche Mat.)
On a characterisation of perimeters in $\Bbb R^N$ via heat semigroup 🟢 (2006) - A. Lunardi - G. Metafune - D. Pallara (Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.)
The Ornstein-Uhlenbeck semigroup in finite dimension 🟢 (2020) - A. Lunardi - M. Miranda Jr - D. Pallara (Potential Analysis)
BV functions on convex domains in Wiener spaces 🟢 (2015) - G. Metafune - E. M. Ouhabaz - D. Pallara (J. Math. Anal. Appl.)
Long time behavior of heat kernels of operators with unbounded drift terms 🟢 (2011) - G. Metafune - D. Pallara (Math. Nachr.)
Trace Formulas for Some Singular Differential Operators and applications 🟢 (2000) - G. Metafune - D. Pallara - V. Vespri (Houston J. Math.)
$L^p$-estimates for a class of elliptic operators with unbounded coefficients in ${\mathbb R}^n$ 🟢 (2005) - L. Angiuli - S. Ferrari - D. Pallara (J. Evol. Equ.)
On functions of bounded variation on convex domains in Hilbert spaces 🟢 (2021) - D. Pallara - S. Polidoro (Calculus of variations and partial differential equations)
Mean value formulas for classical solutions to subelliptic evolution equations in stratified Lie groups 🟢 (2025) - S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (Comm. Pure Appl. Anal.)
Multi-dimensional degenerate operators in $L^p$ – spaces 🟢 (2022) - A. Lunardi - D. Pallara (Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.)
Ornstein-Uhlenbeck semigroups in infinite dimension 🟢 (2020) - M. Miranda Jr - D. Pallara - F. Paronetto - M. Preunkert (J. Reine Angew. Math.)
Heat semigroup and functions of bounded variation on Riemannian manifolds 🟢 (2007) - L. Angiuli - D. Pallara - F. Paronetto (Semigroup Forum)
Analytic semigroups generated in $L^1(Ω)$ by second order elliptic operators via duality methods 🟢 (2010) - W. Arendt - G. Metafune - D. Pallara (J. Oper. Theory)
Schroedinger Operators with Unbounded Drift 🟢 (2006) - M. Campiti - G. Metafune - D. Pallara (Journal of Mathematical Analysis and Applications)
One-dimensional Feller semigroups with reflecting barriers 🟢 (2000) - G. Metafune - D. Pallara (Rend. Mat. Acc. Lincei)
Discreteness of the spectrum for a class of differential operators with unbounded coefficients in ${\mathbb R}^n$ 🟢 (2000) - G. Metafune - D. Pallara (Proc. Amer. Math. Soc. )
On the location of the essential spectrum of Schroedinger operators 🟢 (2002) - D. Guidetti - B. Güneysu - D. Pallara (Ann. Acad. Sci. Fenn. Math.)
$L^1$-elliptic regularity and $H=W$ on the whole $L^p$-scale on arbitrary manifolds 🟢 (2017) - E. Malagoli - D. Pallara - S. Polidoro (Mathematische Nachrichten)
Mean value formulas for classical solutions to uniformly parabolic equations in divergence form 🟢 (2023) - L. Angiuli - L. Lorenzi - D. Pallara (J. Math. Anal. Appl.)
$L^p$-estimates for parabolic systems with unbounded coefficients coupled at zero and first order 🟢 (2016) - D. Pallara - L. Angiuli - S. Ferrari (J. Evol. Equ.)
Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains 🟢 (2019) - L. Angiuli - S. Ferrari - D. Pallara (Accepted Paper: NoDEA)
Regularity results for generalised Mehler semigroups in $L^p$ spaces with respect to invariant measures 🟢 (2026) - M. Novaga - D. Pallara - Y. Sire (J. Anal. Math.)
A fractional isoperimetric problem in the Wiener space 🟢 (2018) - W. Arendt - G. Metafune - D. Pallara (J. Math. Anal. Appl.)
Gaussian estimates for elliptic operators with unbounded drift 🟢 (2008) - K. Laidoune - G. Metafune - D. Pallara - A. Rhandi (Parabolic Problems: the Herbert Amann Festschrift, Progress in nonlinear differential equations and their applications )
Global properties of transition kernels associated with second order elliptic operators 🟢 (2011) - G. Metafune - D. Pallara - E. Priola (J. Funct. Anal.)
Spectrum of Ornstein-Uhlenbeck operators in $L^p$ spaces with respect to invariant measures 🟢 (2002) - G. Metafune - D. Pallara - A. Rhandi (J. Funct. Anal.)
Global Properties of Invariant Measures 🟢 (2005) - L. Angiuli - M. Miranda Jr - D. Pallara - F. Paronetto (Ann. Mat. Pura Appl.)
BV functions and parabolic initial boundary value problems on domains 🟢 (2009) - G. Metafune - D. Pallara - A. Rhandi (J. Evol. Equ.)
Kernel Estimates for Schroedinger Operators 🟢 (2006) - G. Metafune - D. Pallara - A. Rhandi (Theory Probab. Appl.)
Global Properties of Transition Probabilities of Singular Diffusions 🟢 (2009) - F. Ferrari - M. Miranda Jr - D. Pallara - A. Pinamonti - Y. Sire (Discrete Contin. Dyn. Syst. Ser. S)
Fractional Laplacians, perimeters and heat semigroups in Carnot groups 🟢 (2018) - D. Guidetti - B. Güneysu - D. Pallara
On some generalisations of Meyers-Serrin Theorem 🟢 (2015) - M. Beccaria - G. Metafune - D. Pallara (J. High Energy Phys.)
The ground state of long-range Schroedinger equations and static $q\overline{q}$ potential 🟢 (2016) - D. Pallara - S. Polidoro (Discrete Contin. Dyn. Syst. Ser. S)
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups 🟢 (2024) - N. Fusco - D. Pallara (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
On the isoperimetric profile for a mixed Euclidean-Log-convex measure 🟢 (2017) - G. Metafune - D. Pallara - M. Wacker (Semigroup Forum)
Feller semigroups on ${\bf R}^N$ 🟢 (2002) - G. Metafune - D. Pallara - M. Wacker (Studia Mathematica)
Compactness properties of Feller semigroups 🟢 (2002) - A. Lunardi - G. Metafune - D. Pallara (Proc. Amer. Math. Soc. )
Dirichlet Boundary Conditions for Elliptic Operators with Unbounded Drift 🟢 (2005) - R. Chill - E. Fasangova - G. Metafune - D. Pallara (The Journal of the London Mathematical Society)
The sector of analyticity of the Ornstein-Uhlenbeck semigroup on $L^p$ spaces with respect to invariant measure 🟢 (2005) - R. Chill - E. Fasangova - G. Metafune - D. Pallara (C. R. Acad. Sci. Paris S\'er. I Math.)
The sector of analyticity of nonsymmetric submarkovian semigroups generated by elliptic operators 🟢 (2006) - G. Metafune - D. Pallara - P. Rabier - R. Schnaubelt (Forum Math.)
Uniqueness for elliptic operators on $L^p({\bf R}^N)$ with ubounded coefficients 🟢 (2010) - M. Novaga - D. Pallara - Y. Sire (Discrete Contin. Dyn. Syst. S)
A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications 🟢 (2016) - B. Güneysu - D. Pallara (Mathematische Annalen)
Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below 🟢 (2015) - M. Caselli - Z. Lihn (Preprint)
Tetrahedral points and classification of Almgren-minimizing sets in $\mathbb{R}^3$ 🟠 (2026) - M. Caselli (Preprint)
Global regularity of critical SQG via a pointwise Leibniz commutator formula 🟡 (2026) - C. Benassi - M. Caselli (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
Lipschitz continuity results for a class of obstacle problems 🟢 (2020) - M. Caselli - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: ESAIM Control Optim. Calc. Var.)
Regularity results for a class of obstacle problems with $p,q-$growth conditions 🟢 (2021) - M. Caselli - M. Freguglia - N. Picenni (Accepted Paper: Comm. Partial Differential Equations)
Coercivity and Gamma-convergence of the $p$-energy of sphere-valued Sobolev maps 🟢 (2025) - M. Caselli - N. Picenni (J. Differential Equations)
Saddle solution to the complex Ginzburg-Landau system in three dimensions 🟢 (2026) - M. Caselli (Lecture Notes)
Geometric features of nonlocal minimal surfaces 🟢 (2024) - M. Caselli - M. Freguglia - N. Picenni (Preprint)
Another look at a notion of fractional mass in codimension two 🟢 (2026) - M. Caselli - E. Florit-Simon - J. Serra (Accepted Paper: J. Eur. Math. Soc.)
Yau's conjecture for nonlocal minimal surfaces 🟢 (2023) - L. Gennaioli - M. Caselli (Submitted Paper)
A new Duhamel-type principle with applications to geometric (in)equalities 🟢 (2026) - M. Caselli - L. Gennaioli (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds 🟢 (2023) - M. Caselli - M. Freguglia - N. Picenni (Accepted Paper: Ann. Inst. H. Poincaré C Anal. Non Linéaire)
A nonlocal approximation of the area in codimension two 🟢 (2024) - M. Caselli (Nonlinear Analysis)
Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$ 🟢 (2024) - M. Caselli (Ph.D. Thesis)
Nonlocal phase transitions in codimension-one: diffuse approximation, stability and asymptotics 🟢 (2025) - M. Caselli - E. Florit-Simon - J. Serra (Mathematische Annalen)
Fractional Sobolev spaces on Riemannian manifolds 🟢 (2024) - M. Caselli - A. Gentile - R. Giova (J. Differential Equations)
Regularity results for solutions to obstacle problems with Sobolev coeffcients 🟢 (2020) - A. Cosenza - M. Goldman - F. Otto (preprint)
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models 🟢 (2026) - A. Cosenza (Phd Thesis)
Derivation and analysis of reduced models for type-I superconductors 🟢 (2025) - M. Cirant - A. Cosenza - G. Verzini (Calc. Var.)
Ergodic Mean Field Games: existence of local minimizers up to the Sobolev critical case 🟢 (2024) - A. Cosenza - M. Goldman - A. Zilio (Accepted Paper: Interfaces and Free Boundaries)
A $Γ$-convergence result for 2D type-I superconductors 🟢 (2025) - A. Cosenza - M. Goldman - M. Koser (SIMA)
New dimensional bounds for a branched transport problem 🟢 (2026) - F. Nobili - F. Renzi - F. Vitillaro (Preprint)
Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions 🟢 (2025) - S. Conti - G. Dolzmann - P. Dondl (preprint)
A frame-indifferent rank-one convex function in three dimensions which is not quasiconvex 🟠 (2026) - A. Arroyo-Rabasa - A. Aussedat - G. Bouchitté (preprint)
The Monge-Kantorovich tangent bundle to a measure 🔵 (2026) - A. Aussedat (preprint)
Characterization of measures on the real line that are critically unstable under small shifts 🟢 (2026) - S. Conti - D. Faraco - F. Maggi - S. Müller (Calc. Var. Partial Differential Equations)
Rank-one convex functions on 2x2 symmetric matrices and laminates on rank-three lines 🟢 (2005) - A. Chambolle - S. Conti - F. Iurlano (J. Math. Pures Appl.)
Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy 🟢 (2018) - S. Conti - M. Focardi - F. Iurlano (Commun. Contemp. Math.)
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems 🟢 (2018) - S. Conti - H. Olbermann - I. Tobasco (preprint)
Symmetry breaking in indented elastic cones 🟢 (2015) - M. Bonacini - S. Conti - F. Iurlano (Accepted Paper: Arch. Ration. Math. Anal.)
Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models 🟢 (2020) - S. Conti - M. Goldman - F. Otto - S. Serfaty (Accepted Paper: J. Ecole Polytechnique)
A branched transport limit of the Ginzburg-Landau functional 🟢 (2017) - S. Conti - I. Fonseca - G. Leoni (Comm. Pure Appl. Math.)
A $\Gamma$-convergence result for the two-gradient theory of phase transitions 🟢 (2002) - S. Conti - M. Focardi - F. Iurlano (Proc. Roy. Soc. Edinburgh Sect. A)
Which special functions of bounded deformation have bounded variation? 🟢 (2016) - S. Conti - M. Focardi - F. Iurlano (JOURNAL OF FUNCTIONAL ANALYSIS)
Approximation of $SBV$ functions with possibly infinite jump set 🟢 (2025) - S. Conti - V. Crismale - A. Garroni - A. Malusa (preprint)
Phase-field approximation of sharp-interface energies accounting for lattice symmetry 🟢 (2026) - M. Chermisi - S. Conti (SIAM J. Math. Anal.)
Multiwell rigidity in nonlinear elasticity 🟢 (2010) - S. Conti - A. Garroni - M. Ortiz (Submitted Paper)
The line-tension approximation as the dilute limit of linear-elastic dislocations 🟢 (2015) - A. Braides - S. Conti - A. Garroni (Calc. Var. Partial Diff. Equations)
Density of polyhedral partitions 🟢 (2017) - S. Conti - C. De Lellis (Ann. Scuola Norm. Sup. Cl. Sci. (5))
Some remarks on the theory of elasticity for compressible Neohookean materials 🟢 (2001) - S. Conti - A. Garroni - S. Müller (Submitted Paper)
Singular kernels, multiscale decomposition of microstructure, and dislocation models 🟢 (2010) - S. Conti - F. Maggi - S. Müller (SIAM J. Math. Anal.)
Rigorous derivation of Föppl's theory for clamped elastic membranes leads to relaxation 🟢 (2006) - S. Conti - M. Focardi - F. Iurlano (Ann. I. H. Poincaré)
Phase field approximation of cohesive fracture models 🟢 (2016) - S. Conti - C. De Lellis (Math. Ann.)
Sharp upper bounds for a variational problem with singular perturbation 🟢 (2007) - S. Conti - M. Focardi - F. Iurlano (C. R. Acad. Sci. Paris, Ser. I)
Existence of minimizers for the $2$d stationary Griffith fracture model 🟢 (2016) - S. Conti - M. Focardi - F. Iurlano (Accepted Paper: ESAIM COCV)
Approximation of fracture energies with $p$-growth via piecewise affine finite elements 🟢 (2017) - S. Conti - B. Zwicknagl (Preprint)
The tapering length of needles in martensite/martensite macrotwins 🟢 (2022) - S. Conti - M. Focardi - F. Iurlano (Ann. I. H. Poincaré)
Existence of strong minimizers for the Griffith static fracture model in dimension two 🟢 (2018) - S. Conti - M. Focardi - F. Iurlano (Archive for Rational Mechanics and Analysis)
Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy 🟢 (2022) - S. Conti - M. Focardi - F. Iurlano (Calculus of Variations and Partial Differential Equations)
Superlinear free-discontinuity models: relaxation and phase field approximation 🟢 (2026) - S. Conti - C. De Lellis - L. J. Székelyhidi (Nonlinear Partial Differential Equations. Abel Symposia 7.)
h-Principle and Rigidity for $C^{1,\alpha}$ Isometric Embeddings 🟢 (2012) - A. Arroyo-Rabasa - S. Conti (preprint)
Affine rigidity of functions with additive oscillation 🟢 (2025) - S. Conti - A. Garroni (C. R. Math. Acad. Sci. Paris)
Sharp rigidity estimates for incompatible fields as consequence of the Bourgain Brezis div-curl result 🟢 (2021) - S. Conti - A. Garroni - S. Müller (Accepted Paper: JEMS)
Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model 🟢 (2022) - S. Conti - D. Faraco - F. Maggi (Arch. Ration. Mech. Anal.)
A new approach to counterexamples to $L^1$ estimates: Korn's inequality, geometric rigidity and regularity for gradients of separately convex functions 🟢 (2005) - S. Conti - C. De Lellis - S. Mueller - M. Romeo (C. R. Math. Acad. Sci. Paris)
Polyconvexity equals rank-one convexity for connected isotropic sets in $M^{2\times 2}$ 🟢 (2003) - S. Conti - A. Garroni - R. Marziani (Accepted Paper: Calc. Var. PDE)
Line-tension limits for line singularities and application to the mixed-growth case 🟢 (2022) - S. Conti - M. Focardi - F. Iurlano (Archive for Rational Mechanics and Analysis)
Integral representation for functionals defined on $SBD^p$ in dimension two 🟢 (2016) - S. Conti - A. Garroni - A. Massaccesi (Calc. Var. Partial Differential Equations)
Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity 🟢 (2015) - S. Conti - A. Garroni - S. Müller (Preprint)
Dislocation microstructures and strain-gradient plasticity with one active slip plane 🟢 (2015) - S. Conti - F. Maggi (Accepted Paper: Archive for Rational Mechanics and Analysis)
Confining thin elastic sheets and folding paper 🟢 (2005) - C. Muratov - M. Novaga (Preprint)
BCC optimality for the three-dimensional Coulomb lattice energy 🟡 (2026) - M. Novaga - L. Song (Submitted Paper)
The isoperimetric problem for four-dimensional parallelohedra 🟡 (2026) - M. Goldman - M. Novaga - B. Ruffini (Accepted Paper: Comm. Anal. Geom.)
A charged liquid drop model with Willmore energy 🟢 (2026) - P. Majer - M. Novaga (Preprint)
On the independence number of de Bruijn graphs 🟡 (2026) - M. Goldman - M. Novaga - A. Prade (Submitted Paper)
Young's law for a nonlocal isoperimetric model of charged capillarity droplets 🟢 (2026) - G. Bellettini - V. Lorenzini - M. Novaga - R. Scala (Submitted Paper)
A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions 🟢 (2026) - M. Novaga - F. Onoue - E. Paolini (Submitted Paper)
Optimal sets for a geometric oscillation energy 🟡 (2026) - L. Ambrosio - A. Carlotto - A. Massaccesi (Lecture Notes)
Lectures on Elliptic Partial Differential Equations 🟢 (2010) - L. Ambrosio - F. Vitillaro - D. Trevisan (Rendiconti Lincei: Matematica e Applicazioni)
Sharp PDE estimates for random two-dimensional bipartite matching with power cost function 🟢 (2024) - L. Ambrosio - N. Fusco - D. Pallara (Diff. Int. Eqs.)
Higher Regularity of Solutions of Free Discontinuity Problems 🟢 (1999) - L. Ambrosio - N. Fusco - D. Pallara (Annali della Scuola Normale Superiore di Pisa)
Partial Regularity of Free Discontinuity Sets II 🟢 (1997) - G. Alberti - L. Ambrosio - X. Cabré (Acta Appl. Math.)
On a long standing conjecture of E. De Giorgi: old and recent results 🟢 (2000) - L. Ambrosio - M. Colombo - S. Di Marino (Accepted Paper: Advanced Studies in Pure Mathematics: "Variational methods for evolving objects")
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope 🟢 (2012) - L. Ambrosio - G. Crippa - S. Maniglia (Ann. Fac. Sci. Toulouse Math. (6))
Traces and fine properties of a $BD$ class of vector fields and applications 🟢 (2005) - L. Ambrosio - M. Miranda Jr - D. Pallara (Quad. Mat.)
Special Functions of Bounded Variation in Doubling Metric Measure Spaces 🟢 (2004) - L. Ambrosio - V. Magnani (Math. Z.)
Weak differentiability of BV functions on stratified groups 🟢 (2003) - L. Ambrosio - V. Caselles - S. Masnou - J. M. Morel (Journal of EMS. )
Connected Components of Sets of Finite Perimeter and Applications to Image Processing 🟢 (2001) - L. Ambrosio - V. Capasso - E. Villa (Submitted Paper)
On the approximation of geometric densities of random closed sets 🟢 (2006) - L. Ambrosio - S. Rigot (Accepted Paper: Journal of Functional Analysis)
Optimal Mass Transportation in the Heisenberg Group 🟢 (2002) - L. Ambrosio - A. Braides (J. Math. Pures. Appl.)
Functionals defined on partitions of sets of finite perimeter, I: integral representation and $\Gamma$-convergence 🟢 (1990) - L. Ambrosio - M. Colombo - A. Figalli (Duke Math. J.)
On the Lagrangian structure of transport equations: the Vlasov-Poisson system 🟢 (2017) - L. Ambrosio - A. Braides (J. Math. Pures. Appl.)
Functionals defined on partitions of sets of finite perimeter, II: semicontinuity, relaxation and homogenization 🟢 (1990) - L. Ambrosio - G. Crippa (In: Transport Equations and Multi-D Hyperbolic Conservation Laws, Lecture Notes of the Unione Matematica Italiana)
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields 🟢 (2008) - L. Ambrosio - M. Fornasier - M. Morandotti - G. Savaré (CPAM)
Spatially Inhomogeneous Evolutionary Games 🟢 (2021) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Metric measure spaces with Riemannian Ricci curvature bounded from below 🟢 (2011) - L. Ambrosio - G. Da Prato - D. Pallara (Rend. Acc. Lincei)
BV functions in a Hilbert space with respect to a Gaussian measure 🟢 (2010) - L. Ambrosio - C. Brena - S. Conti (Arch. Ration. Math. Anal.)
Functions with bounded Hessian-Schatten variation: density, variational and extremality properties 🟢 (2023) - L. Ambrosio (Lecture Notes)
Lecture notes on transport equation and Cauchy problem for $BV$ vector fields and applications 🟢 (2004) - L. Ambrosio - S. Honda (Submitted Paper)
Local spectral convergence in $RCD^*(K,N)$ spaces 🟢 (2017) - L. Ambrosio - D. Tewodrose - S. Honda - J. Portegies (Journal of Functional Analysis)
Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions 🟢 (2021) - L. Ambrosio - P. Bernard (Submitted Paper)
Uniqueness of signed measures solving the continuity equation for Osgood vector fields 🟢 (2008) - L. Ambrosio - M. Miranda Jr - D. Pallara (Anal. Geom. Metr. Spaces)
Some fine properties of $BV$ functions on Wiener spaces 🟢 (2015) - L. Ambrosio (Submitted Paper)
Regularity theory for mass-minimizing currents (after Almgren-De Lellis-Spadaro) 🟢 (2015) - L. Ambrosio - E. Bruè - D. Semola (Geom. Funct. Anal.)
Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces 🟢 (2019) - L. Ambrosio - H. Frid - J. Silva (Accepted Paper: Journal of Functional Analysis)
Multiscale Young Measures in Homogenization of Continuous Stationary Processes in Compact Spaces and Applications 🟢 (2008) - L. Ambrosio - N. Gigli - G. Savaré (Preprint)
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case 🟢 (2012) - L. Ambrosio - B. Kleiner - E. Le Donne (Preprint)
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane 🟢 (2008) - L. Ambrosio - E. Durand-Cartagena (Rend. Circ. Mat. Palermo )
Metric differentiability of Lipschitz maps defined on Wiener spaces 🟢 (2009) - L. Ambrosio - S. Maniglia - M. Miranda Jr - D. Pallara (J. Funct. Anal.)
BV functions in abstract Wiener spaces 🟢 (2010) - L. Ambrosio - S. Nicolussi Golo - F. Serra Cassano (preprint)
Classical flows of vector fields with exponential or sub-exponential summability 🟢 (2022) - L. Ambrosio - G. Crippa - A. Figalli - L. V. Spinolo (SIAM J. Math. Anal.)
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system 🟢 (2009) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Discrete Contin. Dyn. Syst.)
A global existence result for the semigeostrophic equations in three dimensional convex domains 🟢 (2014) - L. Ambrosio - L. Faina - R. March (SIAM J. Math. Anal.)
Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision 🟢 (2001) - L. Ambrosio - D. Trevisan (Analysis and PDE)
Well posedness of Lagrangian flows and continuity equations in metric measure spaces 🟢 (2014) - L. Ambrosio (Advances in Mathematics)
Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces 🟢 (2001) - L. Ambrosio - C. De Lellis - T. Schmidt (J. Reine Angew. Math.)
Partial regularity for mass-minimizing currents in Hilbert spaces 🟢 (2018) - L. Ambrosio - A. Pratelli
Existence and stability results in the $L^1$ theory of optimal transportation 🟢 (2002) - L. Ambrosio - R. Ghezzi - V. Magnani (Ann. Inst. H. Poincaré Anal. Non Linéaire)
BV functions and sets of finite perimeters in sub-Riemannian manifolds 🟢 (2015) - L. Ambrosio (Submitted Paper)
Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications 🟢 (2017) - L. Ambrosio - E. Durand-Cartagena (Preprint)
Stepanov's Theorem in Wiener spaces 🟢 (2010) - L. Ambrosio - S. Di Marino (J. Funct. Anal.)
Equivalent definitions of $BV$ space and of total variation on metric measure spaces 🟢 (2014) - L. Ambrosio - N. Gigli (Accepted Paper: Methods and Applications of Analysis)
Construction of the parallel transport in the Wasserstein space 🟢 (2008) - L. Ambrosio - J. Malý (Submitted Paper)
Very weak notions of differentiability 🟢 (2005) - L. Ambrosio - A. Figalli - E. Runa (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.)
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces 🟢 (2013) - L. Ambrosio - G. Crippa - P. G. LeFloch (Netw. Heterog. Media)
Leaf superposition property for integer rectifiable currents 🟢 (2008) - L. Ambrosio - I. Fonseca - P. Marcellini - L. Tartar (To appear on Arch. Rat. Mech. Anal.)
On a Volume Constrained Variational Problem 🟢 (1998) - L. Ambrosio - D. Puglisi (Submitted Paper)
Linear extension operators between spaces of Lipschitz maps and Optimal Transport} 🟢 (2016) - L. Ambrosio - A. Coscia - G. Dal Maso (Arch. Rational Mech. Anal.)
Fine Properties of Functions with Bounded Deformation 🟢 (1997) - L. Ambrosio - S. Nicolussi Golo - F. Serra Cassano (preprint)
Optimal $C^\infty$-approximation of functions with exponentially or sub-exponentially integrable derivative 🟢 (2022) - L. Ambrosio - M. Gobbino - D. Pallara (J. Geom. Anal.)
Approximation problems for curvature varifolds 🟢 (1998) - L. Ambrosio - M. Miranda Jr - D. Pallara (Discrete Contin. Dyn. Sys.)
Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability 🟢 (2010) - L. Ambrosio - N. Gigli - A. Mondino - T. Rajala (Accepted Paper: Transactions of the AMS)
Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure 🟢 (2012) - L. Ambrosio - M. Lecumberry - T. Rivière (Accepted Paper: Communications on Pure and Applied Mathematics)
A viscosity property of minimizing micromagnetic configurations 🟢 (2002) - L. Ambrosio - E. Mainini - S. Serfaty (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices 🟢 (2011) - L. Ambrosio - S. Wenger (Submitted Paper)
Rectifiability of flat chains in Banach spaces with coefficients in $*Z*_p$ 🟢 (2009) - L. Ambrosio - S. Maniglia - M. Miranda Jr - D. Pallara (Physica D)
Towards a theory of BV functions in abstract Wiener spaces 🟢 (2010) - L. Ambrosio - A. Figalli (Ann. Fac. Sci. Toulouse Math.)
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces 🟢 (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below 🟢 (2011) - L. Ambrosio - L. Ambrosio - G. Crippa - G. Crippa - A. Figalli - A. Figalli - L. V. Spinolo - L. V. Spinolo (IMA Vol. Math. Appl.)
Existence and uniqueness results for the continuity equation and applications to the chromatography system 🟢 (2011) - L. Ambrosio - A. Colesanti - E. Villa (Submitted Paper)
One-sided Minkowski content for some classes of closed sets and applications to stochastic geometry 🟢 (2007) - L. Ambrosio - A. Figalli (Arch. Rat. Mech. Anal.)
Geodesics in the space of measure-preserving maps and plans 🟢 (2009) - L. Ambrosio - J. Feng (Submitted Paper)
On a class of first order Hamilton-Jacobi equations in metric spaces 🟢 (2013) - L. Ambrosio - G. Somma - S. Verzellesi - D. Vittone (Preprint)
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups 🟢 (2026) - L. Ambrosio - B. Kirchheim - A. Pratelli (Duke Math. J.)
Existence of optimal transport maps for crystalline norms 🟢 (2004) - L. Ambrosio - S. Aziznejad - C. Brena - M. Unser (Calc. Var. PDE)
Linear Inverse Problems with Hessian-Schatten Total Variation 🟢 (2022) - L. Ambrosio - A. Braides - A. Garroni (partially unpublished manuscript)
Special functions with bounded variation and with weakly differentiable traces on the jump set 🟢 (1995) - L. Ambrosio (Preprint)
Transport equation and Cauchy problem for non-smooth vector fields 🟢 (2005) - L. Ambrosio - C. De Lellis - J. Malý (Perspective in nonlinear partial differential equations)
On the chain rule for the divergence of BV like vector fields: applications, partial results, open problems 🟢 (2007) - L. Ambrosio - C. De Lellis (J. Hyperbolic Diff. Equ.)
A note on admissible solutions of 1d scalar conservation laws and 2d Hamilton-Jacobi equations 🟢 (2004) - L. Ambrosio - G. E. Comi (Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg)
Anisotropic surface measures as limits of volume fractions 🟢 (2018) - L. Ambrosio - A. Figalli (J. Funct. Anal.)
On flows associated to Sobolev vector fields in Wiener spaces: an approach a' la DiPerna-Lions 🟢 (2009) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds 🟢 (2012) - L. Ambrosio - F. Renzi - F. Vitillaro (Nonlinear Analysis)
The superposition principle for local 1-dimensional currents 🟢 (2026) - L. Ambrosio - E. Pasqualetto - N. Shanmugalingam (Preprint)
On the equivalence of BV notions in metric measure spaces 🟢 (2026) - L. Ambrosio - J. Bertrand (Submitted Paper)
DC Calculus 🟢 (2015) - L. Ambrosio - N. Gigli - S. Di Marino (Submitted Paper: Nonlinear Analysis: Theory, Methods & Applications)
Perimeter as relaxed Minkowski content in metric measure spaces 🟢 (2016) - L. Ambrosio - F. Bouchut - C. De Lellis (Comm. Partial Differential Equations)
Well--posedness for a class of hyperbolic systems of conservation laws in several space dimensions 🟢 (2004) - L. Ambrosio - G. De Philippis - B. Kirchheim (Rend. Lincei - Mat. e Appl.)
Regularity of optimal transport maps and partial differential inclusions 🟢 (2011) - L. Ambrosio - G. Stefani (Rev. Mat. Iberoam.)
Heat and entropy flows in Carnot groups 🟢 (2020) - L. Ambrosio - D. Trevisan (Preprint)
Lecture notes on the DiPerna-Lions theory in abstract measure spaces 🟢 (2015) - L. Ambrosio - E. Bruè - D. Trevisan (Adv. Math.)
Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces 🟢 (2017) - L. Ambrosio - T. Ikonen - D. Lučić - E. Pasqualetto (preprint)
Metric Sobolev spaces I: equivalence of definitions 🟢 (2024) - L. Ambrosio - F. Santambrogio (Rend. Lincei - Mat. e Appl.)
Necessary optimality conditions for geodesics in weighted Wasserstein spaces 🟢 (2007) - L. Ambrosio - G. Crasta - V. De Cicco - G. De Philippis (Accepted Paper: Manuscripta Math.)
A nonautonomous chain rule in $W^{1,p}$ and in $BV$ 🟢 (2012) - L. Ambrosio - F. Stra - D. Trevisan (Submitted Paper)
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence 🟢 (2016) - L. Ambrosio - M. Colombo - A. Figalli (Arch. Ration. Mech. Anal.)
Existence and uniqueness of maximal regular flows for non-smooth vector fields 🟢 (2015) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces 🟢 (2011) - L. Ambrosio - A. Pinamonti - G. Speight (Accepted paper: J. Reine Angew. Math.)
Weighted Sobolev Spaces on Metric Measure Spaces 🟢 (2015) - L. Ambrosio - H. Frid (Submitted Paper)
Multiscale Young measures in almost periodic homogenization and applications 🟢 (2005) - L. Ambrosio (Proceedings)
An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below 🟢 (2011) - L. Ambrosio - M. Erbar - G. Savaré (Submitted Paper)
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces 🟢 (2015) - L. Ambrosio - T. Rajala (Accepted Paper: Ann. Mat. Pura Appl.)
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces 🟢 (2012) - L. Ambrosio - M. Katz (Submitted Paper)
Flat currents modulo $p$ in metric spaces and filling radius inequalities 🟢 (2009) - L. Ambrosio - C. Brena (Discrete Contin. Dyn. Syst.)
Stability of a class of action functionals depending on convex functions 🟢 (2021) - L. Ambrosio - M. Scienza (Submitted Paper)
Locality of the perimeter in Carnot groups and chain rule 🟢 (2009) - L. Ambrosio - F. Stra - D. Trevisan (Preprint)
A PDE approach to a 2-dimensional matching problem 🟢 (2016) - L. Ambrosio - G. Friesecke - J. Giannoulis (Submitted Paper)
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions 🟢 (2009) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Comm. Partial Differential Equations)
Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case 🟢 (2012) - L. Ambrosio - A. Figalli (Calc. Var. Partial Differential Equations)
On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations 🟢 (2008) - L. Ambrosio - M. Lecumberry - S. Maniglia (Submitted Paper)
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow 🟢 (2005) - L. Ambrosio - F. Glaudo - D. Trevisan (Preprint)
On the optimal map in the 2-dimensional random matching problem 🟢 (2019) - L. Ambrosio - H. Brezis - J. Bourgain - A. Figalli (Comm. Pure Appl. Math.)
$BMO$-type norms related to the perimeter of sets 🟢 (2016) - L. Ambrosio - G. Da Prato - B. Goldys - D. Pallara (Comm. P. D. E. )
Bounded variation with respect to a log-concave measure 🟢 (2012) - L. Ambrosio - S. Honda - J. Portegies (Submitted Paper)
Continuity of nonlinear eigenvalues in $CD(K,\infty)$ spaces with respect to measured Gromov-Hausdorff convergence 🟢 (2017) - L. Ambrosio - B. Kirchheim - M. Lecumberry - T. Rivière
On the rectifiability of defect measures arising in a micromagnetics model 🟢 (2002) - L. Ambrosio - X. Cabré (Journal of the AMS)
Entire Solutions of a Semilinear Elliptic Equation in ${\mathcal R}^3$ and a Conjecture of De Giorgi 🟢 (2000) - L. Ambrosio - A. Pinamonti - G. Speight (Advances in Mathematics)
Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs 🟢 (2014) - L. Ambrosio - R. Ghezzi (Submitted Paper)
Sobolev and Bounded Variation Functions on Metric Measure Spaces 🟢 (2015) - L. Ambrosio (Accepted Paper: Inventiones Mathematicae)
Transport equation and Cauchy problem for BV vector fields 🟢 (2003) - L. Ambrosio - D. Pallara (Annali della Scuola Normale Superiore di Pisa)
Partial Regularity of Free Discontinuity Sets I 🟢 (1997) - L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper: Journal of Geometric Analysis)
On the Bakry-Èmery condition, the gradient estimates and the Local-to-Global property of $RCD^*(K,N)$ metric measure spaces 🟢 (2014) - L. Ambrosio - G. Savaré - L. Zambotti (Accepted Paper: Probability Theory and Related Fields)
Existence and Stability for Fokker-Planck equations with log-concave reference measures 🟢 (2007) - L. Ambrosio - P. Colli Franzone - G. Savaré (Interfaces and Free Boundaries)
Gamma-Convergence of a Family of Anisotropic Functionals with Lack of Coercivity 🟢 (2000) - L. Ambrosio - F. Ghiraldin (Ann. Inst. H. Poincaré Anal. Non Linéaire )
Flat chains with finite size in metric spaces 🟢 (2012) - L. Ambrosio - T. Ikonen - D. Lučić - E. Pasqualetto (Preprint)
Metric Sobolev spaces II: dual energies and divergence measures 🟢 (2025) - L. Ambrosio (Submitted Paper)
The flow associated to weakly differentiable vector fields: recent results and open problems 🟢 (2009) - L. Ambrosio - A. Braides (Paper in Volume: Homogenization and Applications to Material Sciences, (D. Cioranescu, A. Damlamian, P. Donato eds.) GAKUTO, Gakkotosho, Tokio, Japan)
Energies in SBV and variational models in fracture mechanics. 🟢 (1997) - L. Ambrosio - M. Goldman - D. Trevisan (Accepted Paper: Electronic J. Probability)
On the quadratic random matching problem in two-dimensional domains 🟢 (2021) - L. Ambrosio - N. Gigli
A user's guide to optimal transport 🟢 (2011) - L. Ambrosio (Submitted Paper)
Calculus, heat flow and curvature-dimension bounds in metric measure spaces 🟢 (2018) - L. Ambrosio - F. Serra Cassano - D. Vittone (J. Geom. Anal.)
Intrinsic regular hypersurfaces in Heisenberg groups 🟢 (2006) - L. Ambrosio (Set Valued Analysis)
Fine properties of sets of finite perimeter in doubling metric measure spaces 🟢 (2002) - L. Ambrosio - F. Ghiraldin (Analysis and Geometry in Metric Spaces)
Compactness of special functions of bounded higher variation 🟢 (2012) - L. Ambrosio (Accepted Paper)
Steepest descent flows and applications to spaces of probability measures 🟢 (2005) - L. Ambrosio - F. Nobili - F. Renzi - F. Vitillaro (Preprint)
Stability of local Riemannian Ricci curvature lower bounds 🟢 (2026) - L. Ambrosio - A. Lemenant - G. Royer Carfagni (Journal of Elasticity)
A variational model for plastic slip and its regularization via Gamma-convergence. 🟢 (2010) - L. Ambrosio - S. Lisini - G. Savaré (manuscripta math.)
Stability of flows associated to gradient vector fields and convergence of iterated transport maps 🟢 (2006) - L. Ambrosio - G. Crippa (Proceedings of the Royal Society of Edinburgh: Section A)
Continuity equations and ODE flows with non-smooth velocity 🟢 (2014) - L. Ambrosio - A. Mondino (Rend. Lincei Mat. Appl.)
Gaussian-type Isoperimetric Inequalities in $RCD(K,\infty)$ probability spaces for positive $K$ 🟢 (2016) - L. Ambrosio - G. De Philippis - L. Martinazzi (Manuscripta Math.)
Gamma-convergence of nonlocal perimeter functionals 🟢 (2011) - L. Ambrosio - S. Di Marino - G. Savaré (Submitted Paper)
On the duality between p-Modulus and probability measures 🟢 (2013) - L. Ambrosio - T. Schmidt (Proc. Lond. Math. Soc. (3))
Compactness results for normal currents and the Plateau problem in dual Banach spaces 🟢 (2013) - L. Ambrosio - A. Ponce - R. Rodiac (Accepted Paper: Revista Matemática Iberoamericana)
Critical weak-$L^{p}$ differentiability of singular integrals 🟢 (2018) - L. Ambrosio - S. Honda (Submitted Paper)
New stability results for sequences of metric measure spaces with uniform Ricci bounds from below 🟢 (2016) - L. Ambrosio - S. Honda - D. Tewodrose (Annals of Global Analysis and Geometry)
Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces 🟢 (2018) - L. Ambrosio - B. Kirchheim (Submitted to Math. Annalen. )
Rectifiable Sets in Metric and Banach Spaces 🟢 (1999) - L. Ambrosio - F. Glaudo (Submitted Paper)
Finer estimates on the 2-dimensional matching problem 🟢 (2018) - L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper: Memoirs Amer. Math. Soc.)
Nonlinear diffusion equations and curvature conditions in metric measure spaces 🟢 (2015) - G. Alberti - L. Ambrosio (Math. Zeit.)
A Geometrical Approach to Monotone Functions in ${\mathbb R}^n$ 🟢 (1996) - L. Ambrosio - S. Serfaty (Submitted Paper)
A gradient flow approach to an evolution problem arising in superconductivity 🟢 (2007) - L. Ambrosio - S. Masnou (Accepted Paper: Interfaces and Free Boundaries)
A direct variational approach to a problem arising in image reconstruction 🟢 (2002) - L. Ambrosio - N. Gigli - G. Savaré (Accepted Paper)
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space 🟢 (2003) - L. Ambrosio - B. Kirchheim (Acta Mathematica)
Currents in Metric Spaces 🟢 (2000) - L. Ambrosio (Lecture Notes)
Lecture Notes on Optimal Transport Problems 🟢 (2000) - L. Ambrosio - E. Mainini (J. Evol. Equ.)
Infinite-dimensional porous media equations and optimal transportation 🟢 (2010) - L. Ambrosio - C. De Lellis (International Mathematics Research Notices)
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions 🟢 (2003) - L. Ambrosio - A. Figalli (Lecture notes)
Lecture notes on variational models for incompressible Euler equations 🟢 (2009) - L. Ambrosio - W. Gangbo (Submitted Paper)
Hamiltonian ODE's in the Wasserstein space of probability measures 🟢 (2005) - L. Ambrosio - A. Figalli (C. R. Math. Acad. Sci. Paris)
Almost everywhere well-posedness of continuity equations with measure initial data 🟢 (2010) - M. Barchiesi - F. Cagnetti - V. Julin (Submitted Paper)
Double-arc rearrangement and the symmetric isoperimetric problem in Gauss space 🔵 (2026) - M. Barchiesi - D. Henao - C. Mora-Corral - R. Rodiac (Accepted Paper: SIAM J. Math. Anal.)
A Lavrentiev phenomenon in the neo-Hookean model (2026) - E. Cinti - M. Talluri - T. Weth (preprint)
Existence and non-existence results for a fractional Lane-Emden equation with nonlocal Neumann conditions 🟢 (2026) - E. Cinti - M. Talluri (Accepted Paper: Journal of Differential Equations)
On a fractional semilinear Neumann problem arising in Chemotaxis 🟢 (2026) - C. Gambicchia - E. M. Merlino - B. Ruffini - M. Talluri (J. Convex Anal.)
Barycentric stability of nonlocal perimeters: the convex case 🟢 (2027) - F. Bozzola - M. Talluri (Accepted Paper: Calc. Var. Partial Differential Equations)
Maz'ya-type bounds for sharp constants in fractional Poincaré-Sobolev inequalities 🟢 (2025) - F. Bozzola - E. Mainini (Accepted Paper: Nonlinear Anal.)
Equilibria of aggregation-diffusion models with nonlinear potentials 🟢 (2025) - F. Bozzola (Ph.D. Thesis)
Topological and capacitary methods for Poincaré-Sobolev inequalities 🟢 (2025) - A. C. G. Mennucci (Applied Mathematics and Optimization)
Regularity and Variationality of Solutions to Hamilton-Jacobi Equations. Part II: variationality, existence, uniqueness 🟢 (2010) - P. Bousquet - L. Brasco - C. Leone - A. Verde (Accepted Paper: Adv. Calc. Var.)
Gradient estimates for an orthotropic nonlinear diffusion equation 🟢 (2021) - L. Brasco - R. Magnanini - P. Salani (Accepted Paper: Indiana Univ. Math. J.)
The location of the hot spot in a grounded convex conductor 🟢 (2010) - L. Brasco (Accepted Paper: Ann. Mat. Pura Appl.)
Curves of minimal action over metric spaces 🟢 (2010) - L. Brasco - E. Lindgren - M. Stromqvist (Accepted Paper: J. Evol. Equ.)
Continuity of solutions to a nonlinear fractional diffusion equation 🟢 (2019) - L. Brasco - F. Prinari - A. C. Zagati (Accepted Paper: Adv. Calc. Var.)
Sobolev embeddings and distance functions 🟢 (2023) - L. Brasco - G. Franzina (Manuscripta Math.)
On the Hong-Krahn-Szego inequality for the $p-$Laplace operator 🟢 (2012) - L. Brasco - B. Volzone (Accepted Paper: Adv. Math.)
Long-time behavior for the porous medium equation with small initial energy 🟢 (2021) - L. Brasco - A. Pratelli (GAFA)
Sharp stability of some spectral inequalities 🟢 (2011) - L. Brasco - M. M. González - M. Ispizua (Accepted Paper: Commun. Contemp. Math)
A Steklov version of the torsional rigidity 🟢 (2022) - L. Brasco (Accepted Paper: Math. Eng.)
Convex duality for principal frequencies 🟢 (2021) - L. Brasco (Ph.D. Thesis)
Geodesics and PDE methods in transport models 🟢 (2010) - L. Brasco - G. Franzina (Accepted Paper: Adv. Nonlinear Anal.)
A pathological example in Nonlinear Spectral Theory 🟢 (2017) - L. Brasco - A. Salort (Accepted Paper: Ann. Mat. Pura Appl.)
A note on homogeneous Sobolev spaces of fractional order 🟢 (2018) - L. Brasco (Accepted Paper: ESAIM: COCV)
On torsional rigidity and principal frequencies: an invitation to the Kohler-Jobin rearrangement technique 🟢 (2013) - L. Brasco - E. Lindgren (Accepted Paper: Trans. Amer. Math. Soc.)
Uniqueness of extremals for some sharp Poincaré-Sobolev constants 🟢 (2022) - L. Brasco - F. Santambrogio (Accepted Paper: Discrete Contin. Dyn. Syst.)
An equivalent path functional formulation of branched transportation problems 🟢 (2010) - P. Bousquet - L. Brasco (Accepted Paper: Anal. PDE)
$C^1$ regularity of orthotropic $p-$harmonic functions in the plane 🟢 (2016) - L. Brasco - F. Santambrogio (Accepted Paper: Commun. Contemp. Math.)
A sharp estimate à la Calderón-Zygmund for the $p-$Laplacian 🟢 (2017) - P. Bousquet - L. Brasco (Accepted Paper: Math. Ann.)
Global Lipschitz continuity for minima of degenerate problems 🟢 (2015) - L. Brasco (Accepted Paper: Ann. Fac. Sci. Toulouse Math.)
On principal frequencies and isoperimetric ratios in convex sets 🟢 (2019) - L. Brasco - F. Prinari - F. Sk (Accepted Paper: J. Funct. Anal.)
On Morrey's inequality in Sobolev-Slobodeckij spaces 🟢 (2023) - L. Brasco - G. Franzina (Arch. Math.)
A note on positive eigenfunctions and hidden convexity 🟢 (2012) - L. Brasco - L. Briani - G. Franzina (Submitted Paper)
Essential spectrum for the $p-$Laplacian 🟢 (2026) - L. Brasco - G. Buttazzo (Accepted Paper: Calc. Var. Partial Differential Equations)
Improved energy bounds for Schrödinger operators 🟢 (2014) - L. Brasco - G. Franzina - B. Ruffini (J. Funct. Anal.)
Schrödinger operators with negative potentials and Lane-Emden densities 🟢 (2017) - L. Brasco - G. Franzina (Kodai Math. J.)
Convexity properties of Dirichlet integrals and Picone-type inequalities 🟢 (2014) - L. Brasco (Book)
Handbook of Calculus of Variations for absolute beginners 🟢 (2025) - P. Bousquet - L. Brasco - C. Leone - A. Verde (Accepted Paper: Calc. Var. Partial Differential Equations)
On the Lipschitz character of orthotropic $p-$harmonic functions 🟢 (2017) - L. Brasco - F. Santambrogio (Accepted Paper: Springer Proceedings in Mathematics & Statistics)
A note on some Poincaré inequalities on convex sets by Optimal Transport methods 🟢 (2016) - L. Brasco - E. Lindgren - A. Schikorra (Accepted Paper: Adv. Math.)
Higher Holder regularity for the fractional $p-$Laplacian in the superquadratic case 🟢 (2018) - F. Bianchi - L. Brasco - A. C. Zagati (Accepted Paper: Math. Ann.)
On the sharp Hardy inequality in Sobolev-Slobodeckii spaces 🟢 (2023) - F. Bianchi - L. Brasco - F. Sk - A. C. Zagati (Accepted Paper: Rev. Mat. Complut.)
A note on the supersolution method for Hardy's inequality 🟢 (2022) - L. Brasco - E. Cinti - S. Vita (Accepted Paper: J. Funct. Anal.)
A quantitative stability estimate for the fractional Faber-Krahn inequality 🟢 (2020) - L. Brasco - M. Squassina (Accepted Paper: J. Differential Equations)
Optimal solvability for a nonlocal problem at critical growth 🟢 (2017) - L. Brasco - E. Parini - M. Squassina (Accepted Paper: Discrete Contin. Dyn. Syst.)
Stability of variational eigenvalues for the fractional $p-$Laplacian 🟢 (2015) - L. Brasco - G. Carlier (Accepted Paper: Adv. Calc. Var.)
On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds 🟢 (2013) - F. Bozzola - L. Brasco (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S)
Variations on the capacitary inradius 🟢 (2025) - L. Brasco (Accepted Paper: Collect. Math.)
Beyond Cheeger's constant 🟢 (2026) - L. Brasco - G. De Philippis - B. Velichkov (Duke Math. J.)
Faber-Krahn inequalities in sharp quantitative form 🟢 (2015) - L. Brasco - G. Franzina (NoDEA)
An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities 🟢 (2012) - L. Brasco (Accepted Paper: Nonlinear Anal.)
Global $L^\infty$ gradient estimates for solutions to a certain degenerate elliptic equation 🟢 (2010) - L. Brasco - D. Gómez-Castro - J. L. Vazquez (Accepted Paper: Calc. Var. Partial Differential Equations)
Characterisation of homogeneous fractional Sobolev spaces 🟢 (2020) - L. Brasco - B. Ruffini (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Compact Sobolev embeddings and torsion functions 🟢 (2015) - L. Brasco - M. Squassina - Y. Yang (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S)
Global compactness results for nonlocal problems 🟢 (2016) - F. Bianchi - F. Bozzola - L. Brasco (Preprint)
A geometric lower bound for the clamped plate eigenvalue problem in low dimensions and extensions 🟢 (2026) - L. Brasco - G. Buttazzo - F. Santambrogio (Accepted Paper: SIAM J. Math. Anal.)
A Benamou-Brenier approach to branched transport 🟢 (2010) - L. Brasco - L. Briani - F. Prinari (Accepted Paper: J. London Math. Soc.)
Low eigenvalues of the $p-$Laplacian in general open sets 🟢 (2026) - C. Alessi - L. Brasco - M. Miranda Jr (Accepted Paper: Anal. Math. Phys.)
A Schroedinger operator with confining potential having quadratic growth 🟢 (2025) - L. Brasco - G. De Philippis - B. Ruffini (J. Funct. Anal.)
Spectral optimization for the Stekloff--Laplacian: the stability issue 🟢 (2011) - P. Bousquet - L. Brasco - C. Leone (Accepted Paper: Rev. Mat. Iberoam.)
Singular orthotropic functionals with nonstandard growth conditions 🟢 (2022) - L. Brasco - D. Mazzoleni (Accepted Paper: NoDEA)
On principal frequencies, volume and inradius in convex sets 🟢 (2019) - L. Brasco - G. De Philippis - G. Franzina (Accepted Paper: Comm. Partial Differential Equations)
Positive solutions to the sublinear Lane-Emden equation are isolated 🟢 (2021) - L. Brasco (Accepted Paper: Bruno Pini Math. Anal. Semin.)
On principal frequencies and inradius in convex sets 🟢 (2018) - L. Braglia - L. Brasco (Preprint)
Regularity for eigenvalue-type equations in sets with thick complement 🟢 (2026) - L. Brasco - E. Lindgren - E. Parini (Accepted Paper: Interfaces Free Bound.)
The fractional Cheeger problem 🟢 (2013) - L. Brasco - C. Leone - G. Pisante - A. Verde (Accepted Paper: Nonlinear Anal.)
Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals 🟢 (2016) - L. Brasco - G. De Philippis (Book Chapter)
Spectral inequalities in quantitative form 🟢 (2016) - F. Bianchi - L. Brasco (Accepted Paper: Ann. Mat. Pura Appl.)
The fractional Makai-Hayman inequality 🟢 (2022) - L. Brasco - C. Nitsch - A. Pratelli (Z. Angew. Math. Phys.)
On the boundary of the attainable set of the Dirichlet spectrum 🟢 (2012) - L. Brasco - C. Nitsch - C. Trombetti (Accepted Paper: Commun. Contemp. Math.)
An inequality à la Szego-Weinberger for the $p-$Laplacian on convex sets 🟢 (2015) - F. Bozzola - L. Brasco (Accepted Paper: ESAIM: COCV)
Capacitary inradius and Poincaré-Sobolev inequalities 🟢 (2024) - L. Brasco - S. J. N. Mosconi - M. Squassina (Accepted Paper: Calc. Var. Partial Differential Equations)
Optimal decay of extremals for the fractional Sobolev inequality 🟢 (2015) - L. Brasco - E. Lindgren (Accepted Paper: Adv. Math.)
Higher Sobolev regularity for the fractional $p-$Laplace equation in the superquadratic case 🟢 (2015) - L. Brasco - G. Carlier (Accepted Paper: Dyn. Games. Appl.)
Congested traffic equilibria and degenerate anisotropic PDEs 🟢 (2012) - P. Bousquet - L. Brasco (Accepted Paper: Rev. Mat. Iberoam.)
Lipschitz regularity for orthotropic functionals with nonstandard growth conditions 🟢 (2019) - P. Bousquet - L. Brasco - V. Julin (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Lipschitz regularity for local minimizers of some widely degenerate problems 🟢 (2014) - L. Brasco - L. Briani - F. Prinari (Accepted Paper: Nonlinear Anal.)
Extremals for Poincaré-Sobolev sharp constants in Steiner symmetric sets 🟢 (2025) - F. Bozzola - L. Brasco (Accepted Paper: J. Geom. Anal.)
The role of topology and capacity in some bounds for principal frequencies 🟢 (2024) - F. Bianchi - L. Brasco - R. Ognibene (J. Convex Anal.)
On the spectrum of sets made of cores and tubes 🟢 (2023) - L. Brasco - E. Parini (Accepted Paper: Adv. Calc. Var.)
The second eigenvalue of the fractional $p-$Laplacian 🟢 (2015) - L. Brasco - M. Petrache (Accepted Paper: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.)
A continuous model of transportation revisited 🟢 (2013) - L. Brasco - F. Prinari - A. C. Zagati (Accepted Paper: Nonlinear Anal.)
A comparison principle for the Lane-Emden equation and applications to geometric estimates 🟢 (2022) - L. Brasco - G. Franzina (Accepted Paper: Rendiconti Sem. Mat. Univ. Pol. Torino)
An overview on constrained critical points of Dirichlet integrals 🟢 (2019) - L. Brasco - E. Cinti (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. A)
On fractional Hardy inequalities in convex sets 🟢 (2017) - L. Brasco - R. Magnanini (Accepted Paper: Springer INdAM Series)
The heart of a convex body 🟢 (2012) - L. Brasco - G. Carlier - F. Santambrogio (Accepted Paper: J. Math. Pures Appl.)
Congested traffic dynamics, weak flows and very degenerate elliptic equations 🟢 (2010) - L. Brasco (Accepted Paper: J. Math. Sci.)
A survey on dynamical transport distances 🟢 (2010) - L. Brasco - L. Briani - F. Prinari (Accepted Paper: J. Differential Equations)
Extremals for sharp Poincaré-Sobolev inequalities: periodically perforated sets and beyond 🟢 (2026) - F. Bianchi - L. Brasco (Accepted Paper: J. London Math. Soc.)
An optimal lower bound in fractional spectral geometry for planar sets with topological constraints 🟢 (2023) - K. Lin - F. Santambrogio (Accepted Paper: SIAM J. Im. Sci.)
Existence of a solution of the TV Wasserstein gradient flow 🟢 (2026) - A. Nifa (Preprint)
Dirac spectra and the topology of spaces of metrics (2025) - A. Nifa (Preprint)
Sharp Schrödinger inequalities for embedded hypersurfaces (2026) - T. Rossi (Proceedings: Séminaire de théorie spectrale et géométrie)
The relative heat content for submanifolds in sub-Riemannian geometry (2022) - M. Magnabosco - T. Rossi (The Journal of Geometric Analysis)
Failure of the curvature-dimension condition in sub-Finsler manifolds (2023) - F. Cagnetti - G. Domazakis - M. Perugini - F. Seuffert (Submitted Paper)
Rigidity for the Pólya-Szegö inequality under circular rearrangement (2026) - A. C. G. Mennucci (Rendiconti del Seminario Matematico della Università di Padova)
On geodesics and the cut locus in the oriented Grassmann manifold 🟡 (2026) - A. C. G. Mennucci - G. Sundaramoorthi - A. Yezzi (IEEE Transactions on Pattern Analysis and Machine Intelligence)
Coarse-to-fine segmentation and tracking using Sobolev Active Contours 🟢 (2008) - E. Bardelli - A. C. G. Mennucci (Journal of Geometric Mechanics)
Probability measures on infinite dimensional Stiefel manifolds 🟢 (2017) - A. C. G. Mennucci (chapter in a book: Springer Lecture Notes in Mathematics)
Metrics of curves in shape optimization and analysis 🟢 (2013) - A. Duci - A. C. G. Mennucci (preprint)
Banach-like metrics and metrics of compact sets 🟢 (2007) - A. C. G. Mennucci - A. Yezzi - G. Sundaramoorthi (preprint)
Sobolev--type metrics in the space of curves 🟢 (2006) - A. Yezzi - A. C. G. Mennucci (preprint)
Metrics in the space of curves 🟢 (2004) - P. Harms - A. C. G. Mennucci (Comptes rendus - Mathématique)
Geodesics in infinite dimensional Stiefel and Grassmann manifolds 🟢 (2012) - G. Sundaramoorthi - A. C. G. Mennucci - S. Soatto - A. Yezzi (SIAM Journal on Imaging Sciences)
A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering 🟢 (2011) - A. C. G. Mennucci (Analysis and Geometry in Metric Spaces)
On asymmetric distances 🟢 (2013) - A. C. G. Mennucci - A. Duci (SIAM Journal on Imaging Sciences)
Banach-like distances and metrics spaces of compact sets 🟢 (2015) - E. Bardelli - M. Colombo - A. C. G. Mennucci - A. Yezzi ( Fifth Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA'12))
Multiple Object Tracking via Prediction and Filtering with a Sobolev-type Metric on Curves 🟢 (2012) - A. C. G. Mennucci - G. Sundaramoorthi - A. Yezzi (International Journal of Computer Vision)
Sobolev Active Contours 🟢 (2007) - A. C. G. Mennucci - G. Sundaramoorthi - A. Yezzi (INTERFACES AND FREE BOUNDARIES)
Properties of Sobolev--type metrics in the space of curves 🟢 (2008) - A. C. G. Mennucci - G. Sapiro - G. Sundaramoorthi - A. Yezzi (International Journal of Computer Vision)
New possibilities with Sobolev Active Contours 🟢 (2008) - A. C. G. Mennucci (ESAIM COCV)
Regularity and Variationality of Solutions to Hamilton-Jacobi Equations. part I: regularity 🟢 (2003) - A. C. G. Mennucci (International Journal of Mathematics and Mathematical Sciences)
On Perimeters and Volumes of Fattened Sets 🟢 (2019) - A. Yezzi - A. C. G. Mennucci (Preprint: arXiv)
Metrics in the space of curves 🟢 (2004) - A. C. G. Mennucci (Lecture Notes)
Some examples of Riemannian metrics of curves 🟢 (2019) - A. C. G. Mennucci (Analysis and Geometry in Metric Spaces)
Geodesics in asymmetric metric spaces 🟢 (2014) - A. C. G. Mennucci (ESAIM: COCV)
Designing metrics; the delta metric for curves 🟢 (2019) - A. C. G. Mennucci (International Journal of Mathematics and Mathematical Sciences)
Neighborhoods and manifolds of immersed curves 🟢 (2021) - A. C. G. Mennucci (APPLIED MATHEMATICS AND OPTIMIZATION)
Regularity and Variationality of Solutions to Hamilton-Jacobi Equations. Part II: Variationality, Existence, Uniqueness. 🟢 (2011) - A. C. G. Mennucci - S. Soatto - G. Sundaramoorthi - A. Yezzi (Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on . Shanghai, China, December, 2009, )
Tracking deforming objects by filtering and prediction in the space of curves. 🟢 (2009) - A. C. G. Mennucci (Analysis and Geometry in Metric Spaces)
Separation functions and mild topologies 🟢 (2023) - A. C. G. Mennucci (International Journal of Mathematics and Mathematical Sciences)
On Convergence of a family of Random Walks in the Infinite Dimensional Stiefel Manifold 🟢 (2026) - A. C. G. Mennucci (Preprint)
Some fundamental results on Probabilities and Stochastic Processes in Infinite Dimensional Spaces and Manifolds 🟢 (2025) - D. Bourne - M. Buze - T. Gallouët - Q. Mérigot (Submitted Paper)
Polynomial diagrams for microstructure modelling (2026) - D. Bourne - F. Cagnetti - S. Roper (Preprint)
Optimality of the BCC lattice among 3D lattice quantizers 🟢 (2026) - D. Bourne - M. Peletier - F. Theil (Communications in Mathematical Physics)
Optimality of the triangular lattice for a particle system with Wasserstein interaction 🟢 (2014) - D. Bourne - M. Pearce - S. Roper (Mechanics Research Communications)
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport 🟢 (2023) - D. Bourne - S. Conti - S. Müller (Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, A. Pandolfi and K. Weinberg (eds.), Springer)
Folding patterns in partially delaminated thin films 🟢 (2016) - D. Bourne - S. Conti - S. Müller (Journal of Nonlinear Science)
Energy Bounds for a Compressed Elastic Film on a Substrate 🟢 (2017) - M. Buze - J. Feydy - S. Roper - K. Sedighiani - D. Bourne (Computational Materials Science)
Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport 🟢 (2024) - C. Egan - D. Bourne - C. Cotter - M. Cullen - B. Pelloni - S. Roper - M. Wilkinson (Journal of Computational Physics)
A new implementation of the geometric method for solving the Eady slice equations 🟢 (2022) - D. Bourne - R. Cristoferi (Communications in Mathematical Physics)
Asymptotic optimality of the triangular lattice for a class of optimal location problems 🟢 (2021) - D. Bourne - M. Peletier - S. Roper (SIAM Journal on Applied Mathematics)
Hexagonal patterns in a simplified model for block copolymers 🟢 (2014) - D. Bourne - T. Gallouët - Q. Mérigot - A. Natale (Submitted Paper)
Semi-discrete convex order and Laguerre tessellation fitting 🟢 (2026) - D. Bourne - C. Egan - T. Lavier - B. Pelloni (SIAM Journal on Mathematical Analysis)
Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations 🟢 (2026) - C. Egan - J. Methven - D. Bourne - M. Cullen (Accepted Paper: Archive for Rational Mechanics and Analysis)
A definition of the background state of the atmosphere using optimal transport 🟢 (2026) - D. Bourne - P. J. J. Kok - S. M. Roper - W. D. T. Spanjer (Philosophical Magazine)
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes 🟢 (2020) - D. Bourne - D. Cushing - S. Liu - F. Münch - N. Peyerimhoff (SIAM Journal on Discrete Mathematics)
Ollivier-Ricci idleness functions of graphs 🟢 (2018) - D. Bourne - B. Schmitzer - B. Wirth (European Journal of Applied Mathematics)
Semi-discrete unbalanced optimal transport and quantization 🟢 (2026) - D. Bourne - M. Pearce - S. Roper (ESAIM: Mathematical Modelling and Numerical Analysis)
Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport 🟢 (2025) - D. Bourne - C. Egan - B. Pelloni - M. Wilkinson (Calculus of Variations and Partial Differential Equations)
Semi-discrete optimal transport methods for the semi-geostrophic equations 🟢 (2022) - D. Bourne - S. Roper (SIAM Journal on Numerical Analysis)
Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems 🟢 (2015) - I. Dorofeev - A. Pigazzini (Preprint)
Index and nullity of critical spherical catenoids in hyperbolic three-space (2026) - G. Bartoli - G. Saracco (Submitted Paper)
Spectral inequalities for weighted $p$-Laplacians via Talenti symmetrization (2026) - A. Carbotti - S. Dipierro - E. Valdinoci (Complex Variables and Elliptic Equations)
Local density of Caputo-stationary functions of any order 🔵 (2018) - A. Carbotti - S. Dipierro - E. Valdinoci (preprint)
Local density of solutions of time and space fractional equations 🔵 (2018) - A. Carbotti - G. E. Comi (Communications on Pure and Applied Analysis)
A note on Riemann-Liouville fractional Sobolev spaces 🔵 (2021) - A. Carbotti (Submitted Paper)
The semigroup generated by linear fractional divergence form operators in $L^p(\mathbb{R}^N)$: the constant coefficient case 🔵 (2026) - A. Carbotti - S. Don - D. Pallara - A. Pinamonti (ESAIM: Control, Optimization and Calculus of Variations)
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups 🔵 (2021) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Communications in Analysis and Geometry)
A quantitative dimension free isoperimetric inequality for the Fractional Gaussian Perimeter 🔵 (2024) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Fractional Calculus and Applied Analysis)
Asymptotics of the $s$-fractional Gaussian perimeter as $s\to 0^+$ 🔵 (2022) - A. Carbotti - S. Dipierro - E. Valdinoci (Lecture Notes: De Gruyter studies in Mathematics)
Local density of Solutions to Fractional Equations 🔵 (2019) - A. Carbotti - S. Cito - D. Pallara (Submitted Paper)
On the optimization of the Robin eigenvalues in some classes of polygons 🔵 (2025) - A. Carbotti (In: Duran i Lamiel, J., Maione, A. (eds) New Frontiers in Homogenization and Fractional Calculus. Trends in Mathematics. Birkhäuser, Cham)
The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities 🔵 (2026) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Rendiconti Lincei. Matematica e Applicazioni)
Local Regularity of very weak $s$-harmonic functions via fractional difference quotients 🔵 (2024) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Annali di Matematica Pura ed Applicata)
Stability of the Gaussian Faber-Krahn inequality 🔵 (2024) - A. Carbotti - S. Cito - D. A. La Manna - A. Pratelli - G. Stefani (Submitted Paper)
On the approximation of finite perimeter sets 🔵 (2026) - A. Carbotti (Accepted Paper: Proceedings of the American Mathematical Society)
A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials 🔵 (2026) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Advances in Calculus of Variations)
Gamma-convergence of fractional Gaussian perimeter 🔵 (2021) - A. Carbotti (Ph.D. Thesis)
Approximation properties of solutions to fractional equations, Riemann-Liouville fractional Sobolev spaces and a variational problem in Carnot Groups. 🔵 (2020) - F. P. Maiale - A. Trofimova - N. Guglielmi (Submitted Paper)
Probabilistic Analysis of the Random Spectral Radius for a Matrix Family 🟢 (2025) - G. Buttazzo - F. P. Maiale - B. Velichkov (Rendiconti Lincei. Matematica e Applicazioni)
Shape optimization problems in control form 🟢 (2021) - F. P. Maiale - A. Trofimova - A. De Marinis (Submitted Paper)
Approximation bounds for norm constrained deep neural networks 🟢 (2025) - F. P. Maiale - G. Tortone - B. Velichkov (Revista Matemática Iberoamericana)
Epsilon-regularity for the solutions of a free boundary system 🟢 (2023) - G. Buttazzo - F. P. Maiale (Nonlinear Analysis)
Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains 🟢 (2020) - F. P. Maiale (Accepted Paper: Journal of Mathematical Analysis and Applications)
A note on harmonic polynomials on Heisenberg and Carnot groups 🟢 (2026) - V. Georgiev - F. P. Maiale (Pliska Studia Mathematica)
Critical points of Dirac functional with broken symmetry 🟢 (2018) - N. Guglielmi - F. P. Maiale (SIAM J. Matrix Anal. Appl.)
Gripenberg-like algorithm for the lower spectral radius 🟢 (2026) - G. Buttazzo - F. P. Maiale (Journal of Convex Analysis)
Shape optimization problems for functionals with a boundary integral 🟢 (2021) - F. P. Maiale - G. Tortone - B. Velichkov (Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
The boundary Harnack principle on optimal domains 🟢 (2024) - K. O. Idu - F. P. Maiale (Analysis and Geometry in Metric Spaces)
$C^{1,α}$-rectifiability in low codimension in Heisenberg groups 🟢 (2024) - F. P. Maiale (Submitted Paper)
Perturbation from symmetry for semiconvex lower-order partial-wave nonlinear Dirac equations 🟢 (2026) - G. Buttazzo - F. P. Maiale - D. Mazzoleni - G. Tortone - B. Velichkov (Arch. Rat. Mech. Anal.)
Regularity of the optimal sets for a class of integral shape functionals 🟢 (2024) - K. O. Idu - V. Magnani - F. P. Maiale (Journal of Mathematical Analysis and Applications)
Characterizations of $k$-rectifiability in homogenous groups 🟢 (2021) - F. P. Maiale (Ph.D. Thesis)
Shape Optimization Problems and Regularity of the Free Boundaries 🟢 (2022) - M. Caponi - F. Sapio (Journal of Evolution Equations)
An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains 🟢 (2021) - N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (Fractional Calculus and Applied Analysis)
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators 🟢 (2024) - N. Cangiotti - M. Caponi - A. Maione - E. Vitillaro (Milan Journal of Mathematics)
Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators 🟢 (2023) - M. Caponi - A. Carbotti - A. Maione (Calculus of Variations and Partial Differential Equations)
$H$-compactness for nonlocal linear operators in fractional divergence form 🟢 (2025) - M. Caponi - P. Pucci (Ann. Mat. Pura Appl.)
Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations 🟢 (2016) - M. Caponi - A. Carbotti - F. Sapio (Journal of Evolution Equations)
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture 🟢 (2024) - M. Caponi (In: Duran i Lamiel, J., Maione, A. (eds) New Frontiers in Homogenization and Fractional Calculus. Trends in Mathematics. Birkhäuser, Cham)
A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces 🟢 (2026) - S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Nonlinear Differential Equations and Applications)
Geometric rigidity on Sobolev spaces with variable exponent and applications 🟢 (2025) - M. Caponi (Ph.D. Thesis)
On some mathematical problems in fracture dynamics 🟢 (2019) - M. Caponi - I. Lucardesi - E. Tasso (Journal of Mathematical Analysis and Applications)
Energy-dissipation balance of a smooth moving crack 🟢 (2020) - M. Caponi - V. Crismale (ESAIM Control Optim. Calc. Var.)
A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage 🟢 (2025) - S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Preprint)
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits 🟢 (2025) - G. C. Brusca - M. Caponi - A. Carbotti - A. Maione - F. Paronetto (Submitted Paper)
$H$-convergence and $\Gamma$-convergence in the Riesz fractional setting: the nonlinear case 🟢 (2026) - M. Caponi - F. Sapio (Annali di Matematica Pura ed Applicata (1923 -))
A dynamic model for viscoelastic materials with prescribed growing cracks 🟢 (2020) - M. Caponi (NoDEA Nonlinear Differential Equations Appl.)
Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation 🟢 (2020) - S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Mathematische Annalen)
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations 🟢 (2025) - M. Caponi (Milan J. Math.)
Linear Hyperbolic Systems in Domains with Growing Cracks 🟢 (2017) - B. Raita - A. Ruland - C. Tissot - A. Tribuzio (SIAM J. Math. Anal.)
On Scaling Properties for a Class of Two-Well Problems for Higher Order Homogeneous Linear Differential Operators 🟢 (2024) - A. Ruland - A. Tribuzio (J. Elast.)
On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions 🟢 (2024) - A. Ruland - C. Tissot - A. Tribuzio - C. Zillinger (preprint)
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions 🟢 (2025) - N. Ansini - A. Tribuzio (Submitted Paper)
Multiscale analysis and homogenization of nonlocal thin films 🟢 (2026) - A. Ruland - A. Tribuzio (ESAIM: COCV)
On the energy scaling behaviour of singular perturbation models with prescribed Dirichlet data involving higher order laminates 🟢 (2023) - A. Tribuzio - K. Zemas (Calculus of Variations and Partial Differential Equations)
Energy barriers for boundary nucleation in a two-well model without gauge invariances 🟢 (2025) - R. Indergand - D. Kochmann - A. Ruland - A. Tribuzio - C. Zillinger (Math. Models Methods Appl. Sci.)
On a $T_3$-Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations 🟢 (2026) - A. Braides - G. Scilla - A. Tribuzio (J. Nonlinear Sci.)
Nucleation and growth of lattice crystals 🟢 (2021) - R. Alicandro - N. Ansini - A. Braides - A. Piatnitski - A. Tribuzio (Book: SpringerBriefs on PDEs and Data Science)
A Variational Theory of Convolution-type Functionals 🟢 (2023) - J. Ginster - A. Ruland - A. Tribuzio - B. Zwicknagl (Annales de l'Institut Henri Poincaré C)
On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations 🟢 (2025) - A. Tribuzio (Networks and Heterogeneous Media)
Perturbations of minimizing movements and curves of maximal slope 🟢 (2018) - A. Braides - A. Tribuzio (Discrete and Continuous Dynamical Systems Series S)
Perturbed minimizing movements of families of functionals 🟢 (2021) - A. Kubin - V. Pagliari - A. Tribuzio (Fractional Calculus and Applied Analysis)
Second-order asymptotics of fractional Gagliardo seminorms as $s\to1^-$ and convergence of the associated gradient flows 🟢 (2025) - A. Ruland - A. Tribuzio (J. Nonlinear Sci.)
On Scaling Laws for Multi-Well Nucleation Problems without Gauge Invariances 🟢 (2023) - A. Ruland - A. Tribuzio (Archive for Rational Mechanics and Analysis)
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square 🟢 (2022) - G. Catino - D. D. Monticelli - A. Roncoroni (Submitted Paper)
The Gagliardo-Nirenberg equation on Riemannian manifolds 🟡 (2026) - G. Catino - C. Mantegazza (Accepted Paper: Math. Ann.)
Short-time Existence for the Schouten Flow 🔴 (2026) - C. Mantegazza (Lecture Notes)
Introduzione al Flusso di Ricci 🔵 (2026) - C. Mantegazza - F. Oronzio (Accepted Paper: Nonlinear Analysis)
Distance Functions, Curvature and Topology 🔵 (2026) - C. Mantegazza (PhD Thesis - Scuola Normale Superiore di Pisa)
Smooth Geometric Evolutions of Hypersurfaces and Singular Approximation of Mean Curvature Flow 🟢 (2014) - D. Castorina - C. Mantegazza - B. Sciunzi (Milan J. Math.)
A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds 🟢 (2019) - C. Mantegazza - S. Mongodi - M. Rimoldi (Geometric Flows)
The Cotton Tensor and the Ricci Flow 🟢 (2017) - C. Mantegazza - A. C. G. Mennucci (Appl. Math. Opt.)
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds 🟢 (2003) - P. Baldi - E. Haus - C. Mantegazza (Math. Ann.)
Existence of a Lens–Shaped Cluster of Surfaces Self–Shrinking by Mean Curvature 🟢 (2019) - R. Benedetti - C. Mantegazza (Lecture Notes in Mathematics/CIME Foundation Subseries, Springer.)
Ricci Flow and Geometric Applications 🟢 (2016) - A. Magni - C. Mantegazza - M. Novaga (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Motion by Curvature of Planar Networks II 🟢 (2016) - C. Mantegazza - M. Novaga - A. Pluda (Geometric Flows)
Motion by Curvature of Networks with Two Triple Junctions 🟢 (2017) - C. Mantegazza - L. Martinazzi (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
A Note on Quasilinear Parabolic Equations on Manifolds 🟢 (2012) - M. Eminenti - G. La Nave - C. Mantegazza (Manuscripta Math.)
Ricci Solitons - The Equation Point of View 🟢 (2008) - L. Ambrosio - C. De Lellis - C. Mantegazza (Calc. Var. PDE)
Line Energies for Gradient Vector Fields in the Plane 🟢 (1999) - D. Castorina - G. Catino - C. Mantegazza (Ann. Mat. Pura Appl.)
Semilinear Li & Yau Inequalities 🟢 (2023) - G. Catino - C. Mantegazza - L. Mazzieri (Math. Ann.)
A Note on Codazzi Tensors 🟢 (2015) - C. Mantegazza - R. Müller (J. Reine Angew. Math. (Crelle's Journal))
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow 🟢 (2015) - A. Magni - C. Mantegazza
Curves Homothetically Shrinking by Curvature 🟢 (2009) - L. Ambrosio - C. Mantegazza (J. Geom. Anal.)
Curvature and Distance Function from a Manifold 🟢 (1998) - G. Catino - C. Mantegazza - L. Mazzieri - M. Rimoldi (J. Reine Angew. Math. (Crelle's Journal))
Locally Conformally Flat Quasi-Einstein Manifolds 🟢 (2013) - M. Caldarelli - G. Catino - Z. Djadli - A. Magni - C. Mantegazza (Geom. Dedicata)
On Perelman's Dilaton 🟢 (2010) - A. Magni - C. Mantegazza - E. Tsatis (J. Evol. Eqs.)
Flow by Mean Curvature inside a Moving Ambient Space 🟢 (2013) - D. Castorina - C. Mantegazza (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
Ancient Solutions of Semilinear Heat Equations on Riemannian Manifolds 🟢 (2017) - C. Mantegazza - G. Mascellani - G. Uraltsev (Pacific J. of Math.)
On the Distributional Hessian of the Distance Function 🟢 (2014) - A. Corbisiero - C. Leone - C. Mantegazza (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
Quasiconvexity in the Riemannian Setting 🟢 (2025) - C. Mantegazza (J. Diff. Geom.)
Curvature Varifolds with Boundary 🟢 (1996) - C. Mantegazza - R. Buzano (J. Reine Angew. Math. (Crelle's Journal))
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow 🟢 (2015) - R. Benedetti - C. Mantegazza (Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.)
La Congettura di Poincaré 🟢 (2024) - P. Baldi - E. Haus - C. Mantegazza (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
Networks Self-Similarly Moving by Curvature with Two Triple Junctions 🟢 (2017) - S. Della Corte - A. Diana - C. Mantegazza (Note di Matematica)
Uniform Sobolev, Interpolation and Geometric Calderón-Zygmund Inequalities for Graph Hypersurfaces 🟢 (2024) - A. Magni - C. Mantegazza (in "Singularities in Nonlinear Evolution Phenomena and Applications'' (M. Novaga & G. Orlandi eds.), CRM Series of Center "Ennio De Giorgi", Pisa)
Some Remarks on Huisken's Monotonicity Formula for Mean Curvature Flow 🟢 (2009) - A. Diana - N. Fusco - C. Mantegazza (Calc. Var. PDE)
Stability for the Surface Diffusion Flow 🟢 (2026) - I. Fonseca - C. Mantegazza (SIAM J. Math. Anal.)
Second Order Singular Perturbation Models for Phase Transitions 🟢 (2000) - R. Benedetti - C. Mantegazza (Rivista UMI - Matematica, Cultura e Società)
La Congettura di Poincaré e il Flusso di Ricci 🟢 (2017) - S. Della Corte - A. Diana - C. Mantegazza (Math. Engineering)
Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow 🟢 (2022) - C. Mantegazza (Degree Thesis - Math Dept. Univ. Pisa)
Su Alcune Definizioni Deboli di Curvatura per Insiemi Non Orientati 🟢 (1993) - G. Ascione - D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
A Matrix Harnack Inequality for Semilinear Heat Equations 🟢 (2023) - C. Mantegazza
On the Minimality of the Potential Function of a Gradient Shrinking Ricci Soliton 🟢 (2016) - C. Mantegazza
Some Entropies for Mean Curvature Flow 🟢 (2013) - C. Mantegazza - M. Novaga - A. Pluda - F. Schulze (Astérisque)
Evolution of Networks with Multiple Junctions 🟢 (2024) - C. Mantegazza (Book Introduction and Errata: Progress in Mathematics, Birkhauser)
Lecture Notes on Mean Curvature Flow 🟢 (2011) - C. Mantegazza (Progress in Nonlin. Diff. Eqs. and Appl.)
Evolution by Curvature of Networks of Curves in the Plane 🟢 (2004) - N. Gigli - C. Mantegazza (Advances in Math.)
A Flow Tangent to the Ricci Flow via Heat Kernels and Mass Transport 🟢 (2014) - L. Benatti - C. Mantegazza - F. Oronzio - A. Pluda (J. Geom. Anal.)
A Note on Ricci-Pinched Three-Manifolds 🟢 (2025) - M. Eminenti - C. Mantegazza (J. Geom. Anal.)
Some Properties of the Distance Function and a Conjecture of De Giorgi 🟢 (2004) - L. Cremaschi - C. Mantegazza (Discrete Contin. Dyn. Syst. - Series A)
Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three 🟢 (2015) - I. Fragalà - C. Mantegazza (Proc. Royal Soc. Edinburgh)
On some Notions of Tangent Space to a Measure 🟢 (1999) - G. Catino - C. Mantegazza - L. Mazzieri (Commun. Contemp. Math.)
On the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor 🟢 (2012) - C. Mantegazza - M. Pozzetta (Revista Matematica Iberoamericana)
Asymptotic Convergence of Evolving Hypersurfaces 🟢 (2022) - P. Baldi - E. Haus - C. Mantegazza (Geometric Flows)
On the Classification of Networks Self-Similarly Moving by Curvature 🟢 (2017) - G. Catino - C. Mantegazza (Ann. Inst. Fourier)
The evolution of the Weyl Tensor under the Ricci Flow 🟢 (2011) - D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
A Triviality Result for Semilinear Parabolic Equations 🟢 (2022) - C. Mantegazza - F. Oronzio (Preprint)
$X$-ADM Mass and $X$-Positive Mass Theorem 🟢 (2026) - C. Mantegazza - M. Novaga - A. Pluda (Lecture Notes: Springer INdAM Series)
Lectures on Curvature Flow of Networks 🟢 (2019) - A. Magni - C. Mantegazza (Rend. Sem. Mat. Univ. Padova)
A Note on Grayson's Theorem 🟢 (2014) - H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. PDE)
Bach-Flat Gradient Steady Ricci Solitons 🟢 (2014) - C. Mantegazza
Notes on the Distance Function from a Submanifold 🟢 (2010) - P. Baldi - E. Haus - C. Mantegazza (Comm. PDE)
Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature 🟢 (2018) - C. Mantegazza (Rend. Semin. Mat. Univ. Padova)
Some Elementary Questions in the Calculus of Variations 🟢 (2021) - G. Catino - C. Mantegazza - L. Mazzieri (Analysis & PDE)
Locally Conformally Flat Ancient Ricci Flows 🟢 (2015) - C. Mantegazza - M. Pozzetta (Calc. Var. PDE)
The Lojasiewicz-Simon Inequality for the Elastic Flow 🟢 (2021) - G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (Pacific J. Math.)
The Ricci-Bourguignon Flow 🟢 (2017) - V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Riemannian Penrose Inequality via Nonlinear Potential Theory 🟢 (2025) - C. Mantegazza - V. M. Tortorelli (Quaderni dell'Accademia Pontaniana di Napoli)
Ennio De Giorgi - Corso di Analisi Matematica 🟢 (2016) - C. Mantegazza (GAFA)
Smooth Geometric Evolutions of Hypersurfaces 🟢 (2002) - D. Castorina - C. Mantegazza (Comm. Cont. Math.)
Ancient Solutions of Superlinear Heat Equations on Riemannian Manifolds 🟢 (2021) - C. Mantegazza - M. Novaga - V. M. Tortorelli (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Motion by Curvature of Planar Networks 🟢 (2004) - C. Mantegazza - M. Novaga - A. Pluda (J. Reine Angew. Math. (Crelle's Journal))
Type-0 Singularities in the Network Flow - Evolution of Trees 🟢 (2022) - C. Mantegazza - A. Pluda - M. Pozzetta (Milan J. Math.)
A Survey of the Elastic Flow of Curves and Networks 🟢 (2021) - G. Alberti - C. Mantegazza (Bollettino Un. Mat. Ital. (7))
A Note on the Theory of SBV Functions 🟢 (1997) - G. Bellettini - C. Mantegazza - M. Novaga (J. Diff. Geom.)
Singular Perturbations of Mean Curvature Flow 🟢 (2007) - C. Mantegazza (Short Note)
On $C^2$ Umbilical Hypersurfaces 🟢 (2021) - V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
A New Proof of the Riemannian Penrose Inequality 🟢 (2023) - M. Agnoletto - M. F. Da Silva - S. Nardulli - R. Resende (Preprint)
A proof of the Cartan-Hadamard conjecture for small volumes under a Ricci curvature lower bound 🔵 (2026) - M. Novack - R. Resende (Preprint)
Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents 🟢 (2026) - J. H. Andrade - J. Conrado - S. Nardulli - P. Piccione - R. Resende (Journal of Functional Analysis)
Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds 🟢 (2022) - R. Resende (Journal of Dynamical and Control Systems)
On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry 🟢 (2022) - S. Nardulli - R. Resende (Advances in Mathematics)
Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity 🟢 (2022) - S. Nardulli - R. Resende (Accepted Paper: Transactions of the AMS (TAMS))
Interior regularity of area minimizing currents within a $C^{2,\alpha}$-submanifold 🟢 (2024) - A. De Rosa - R. Neumayer - R. Resende (Submitted Paper)
Rigidity of critical points of hydrophobic capillary functionals 🟢 (2025) - A. De Rosa - R. Resende (Comm. Partial Differential Equations)
Boundary regularity for anisotropic minimal Lipschitz graphs 🟢 (2023) - I. Fleschler - R. Resende (Preprint)
On the regularity of area minimizing currents at boundaries with arbitrary multiplicity 🟢 (2024) - R. Resende (The Journal of Geometric Analysis)
Lipschitz approximation for general almost area minimizing currents 🟢 (2023) - E. Paolini - E. Stepanov (J. Math. Sciences (N.Y.))
Connecting measures by means of branched transportation networks at finite cost 🟢 (2009) - M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (J. Geom. Anal.)
Isoperimetric clusters in homogeneous spaces via concentration compactness 🟢 (2022) - E. Paolini - A. Tamagnini (Geometric Flows)
Minimal cluster computation for four planar regions with the same area 🟢 (2018) - B. Dacorogna - P. Marcellini - E. Paolini (Differential and Integral Equations)
Functions with orthogonal Hessian 🟢 (2010) - E. Paolini - L. Ulivi (Rend. Sem. Mat. Univ. Padova)
The Steiner problem for infinitely many points 🟢 (2010) - M. Miranda Jr - E. Paolini - E. Stepanov (Calc. Var. Partial Diff. Equations)
On one-dimensional continua uniformly approximating planar sets 🟢 (2006) - E. Paolini (Degree Thesis)
Il Teorema del Disco Topologico di Reifenberg ed il Problema di Plateau in Codimensione Qualunque 🟢 (1996) - M. Novaga - E. Paolini (Nonlinear Analysis: Real World Applications)
Regularity results for some $1$-homogeneous functionals 🟢 (2002) - M. Novaga - E. Paolini - V. M. Tortorelli (Submitted Paper)
Existence of a non-standard isoperimetric triple partition 🟢 (2025) - E. Paolini - E. Stepanov (Proc. Royal Soc. Edinburgh Ser. A - Mathematics)
Flows of measures generated by vector fields 🟢 (2018) - P. Marcellini - E. Paolini (Imagine Math 8)
Origami and fractal solutions of differential systems 🟢 (2022) - B. Dacorogna - P. Marcellini - E. Paolini (Nonlinear Differ. Equ. Appl. (NoDEA))
The degenerate two well problem for piecewise affine maps 🟢 (2013) - P. Marcellini - E. Paolini (Imagine Math.)
Origami and Partial Differential Equations 🟢 (2012) - E. Paolini - A. Tamagnini (ESAIM: COCV)
Minimal clusters of four planar regions with the same area 🟢 (2018) - M. Novaga - E. Paolini (Rend. Mat. Acc. Lincei)
A computational approach to fractures in crystal growth 🟢 (1999) - F. Nobili - M. Novaga - E. Paolini (Trans. Amer. Math. Soc.)
Periodic double tilings of the plane 🟢 (2026) - E. Paolini - E. Stepanov (Calc. Var. Partial Diff. Equations)
Existence and regularity results for the Steiner problem 🟢 (2012) - E. Paolini - E. Stepanov (Preprint)
On the Steiner tree connecting a fractal set 🟢 (2023) - B. Dacorogna - P. Marcellini - E. Paolini (J. Funct. Anal.)
On the $n$-dimensional Dirichlet problem for isometric maps 🟢 (2008) - B. Dacorogna - P. Marcellini - E. Paolini (Notices of AMS)
Origami and Partial Differential Equations 🟢 (2010) - E. Paolini - E. Stepanov (J. Funct. Anal.)
Structure of metric cycles and normal one-dimensional currents 🟢 (2013) - E. Paolini (manuscripta mathematica)
On the Relaxed Total Variation of Singular Maps 🟢 (2003) - E. Paolini - E. Stepanov (Interfaces and Free Boundaries)
Optimal transportation networks as flat chains 🟢 (2006) - E. Paolini (Matematica, Cultura e Società – Rivista dell’Unione Matematica Italiana)
Dehn e Banach-Tarski: opposti paradossi 🟢 (2017) - M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (Networks and Heterogeneous Media)
Isoperimetric planar clusters with infinitely many regions 🟢 (2023) - G. Bellettini - M. Novaga - E. Paolini (SIAM J. on Math. Anal.)
Global solutions to the gradient flow equation of a nonconvex functional 🟢 (2005) - B. Dacorogna - P. Marcellini - E. Paolini (Ann. Inst. H. Poincaré Anal. Non Linéaire)
An explicit solution to a system of implicit differential equations 🟢 (2008) - B. Dacorogna - P. Marcellini - E. Paolini (J. Math. Pures Appl.)
Lipschitz-continuous local isometric immersions: rigid maps and origami 🟢 (2008) - M. Novaga - E. Paolini (Annali di Matematica pura e Applicata)
Regularity results for boundaries in ${\mathrm R}^2$ with prescribed anisotropic curvature 🟢 (2005) - M. Novaga - E. Paolini (Math. Mod. Meth. Appl. Sc.)
Stability of Crystalline Evolutions 🟢 (2005) - E. Paolini - E. Stepanov (J. Funct. Anal.)
Decomposition of acyclic normal currents in a metric space 🟢 (2012) - D. Cherkashin - E. Paolini - Y. Teplitskaya (Journal of Combinatorial Optimization)
Steiner trees with infinitely many terminals on the sides of an angle 🟢 (2025) - E. Paolini - E. Stepanov - Y. Teplitskaya (Adv. Calc. Var.)
An example of an infinite Steiner tree connecting an uncountable set 🟢 (2015) - G. De Philippis - E. Paolini (Rend. Sem. Mat. Univ. Padova)
A short proof of the minimality of Simons cone 🟢 (2009) - F. Nobili - M. Novaga - E. Paolini (preprint)
Anisotropic isoperimetric double tilings of the plane 🟢 (2026) - M. Novaga - E. Paolini - V. M. Tortorelli (Trans. Amer. Math. Soc.)
Locally isoperimetric partitions 🟢 (2025) - E. Paolini (Bruno Pini Mathematical Analysis Seminar)
Minimal connections: the classical Steiner problem and generalizations 🟢 (2012) - M. Novaga - E. Paolini - E. Stepanov (Proc. Amer. Math. Soc.)
On the total surface area of potato packings 🟢 (2025) - B. Dacorogna - P. Marcellini - E. Paolini (Adv. Differential Equations)
The two well problem for piecewise affine maps 🟢 (2012) - E. Paolini (manuscripta math.)
Regularity for minimal boundaries in $R^n$ with mean curvature in $L^n$ 🟢 (1998) - E. Paolini - E. Stepanov (J. Math. Sciences (N.Y.))
Qualitative properties of maximum distance minimizers and average distance minimizers in $\mathbf R^n$ 🟢 (2004) - E. Paolini - V. M. Tortorelli (Calc. Var.)
The quadruple planar bubble enclosing equal areas is symmetric 🟢 (2020) - L. Ambrosio - E. Paolini (Ricerche di Matematica)
Partial regularity for quasi minimizers of perimeter 🟢 (1999) - L. Ambrosio - M. Novaga - E. Paolini (ESAIM: COCV volume dedicated to J. L. Lions)
Some Regularity Results for Minimal Crystals 🟢 (2002) - S. Dweik (Accepted Paper: Nonlinear Analysis)
Hölder regularity of the solution to the least gradient problem with nonhomogeneous term (2026) - G. Pascale (Ph.D. Thesis)
Variational Results on Capillary Isoperimetric Problems and Liquid Drop Models (2025) - M. Cicalese - L. Kreutz - G. P. Leonardi - G. Morselli (Siam J. Math. Anal.)
The quantitative Faber-Krahn inequality for the combinatorial Laplacian in $\mathbb{Z}^d$ (2026) - J. Manfredi - S. Mukherjee (preprint)
Comparison principles for degenerate sub-elliptic equations in non-divergence form (2026) - J. Manfredi - S. Mukherjee (Preprint)
A NOTE ON THE COMPARISON PRINCIPLE FOR DEGENERATE SUB-ELLIPTIC EQUATIONS (2026) - G. Fusco - T. Heilmann (Preprint)
$\Gamma$-convergence for nonlocal phase transitions involving the $H^{1/2}$ norm and surfactants (2026) - R. Ognibene - B. Velichkov (La Matematica)
A survey on the optimal partition problem (2025) - A. Pacati - G. Tortone - B. Velichkov (J. Geom. Anal.)
Some remarks on singular capillary cones with free boundary (2025) - G. Tortone - B. Velichkov (La Matematica)
Vectorial Bernoulli Problems and Free Boundary Systems (1966) - R. Ognibene - B. Velichkov (Accepted Paper: Arch. Ration. Mech. Anal.)
Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems (2024) - S. Almi - R. Rossi - G. Savaré (Accepted Paper: Annales de l'Institut Henri Poincaré C Analyse non linéaire)
The superposition principle for the continuity equation with singular flux (2026) - N. Cangiotti - I. Gallo - D. Spitzkopf (Accepted Paper: Physica Scripta)
Nonlinear Schrödinger Equation with magnetic potential on metric graphs (2026) - G. Bombardieri - M. Fogagnolo - V. Franceschi (Preprint)
Mean-convex horizontal mean curvature flow in the Heisenberg group (2026) - P. Ambrosio - S. Ciani - G. Cupini (Accepted Paper)
Widely degenerate anisotropic diffusion: local boundedness and semicontinuity (2026) - S. Dipierro - O. Savin - E. Valdinoci - R. Villa (Submitted Paper)
Regularity theory for non-local almost minimal surfaces via Euler-Lagrange inequalities at small scales (2026) - M. Focardi (Preprint)
The Bourgain, Brezis, Mironescu localization for deterministic obstacle problems (2026)