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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)
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
- 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) - D. Bourne - F. Cagnetti - S. Roper (Preprint)
Optimality of the BCC lattice among 3D lattice quantizers 🟢 (2026) - G. Bombardieri - M. Fogagnolo - V. Franceschi (Preprint)
Mean-convex horizontal mean curvature flow in the Heisenberg group (2026) - P. Acampora - J. Lamboley - I. Mazari-Fouquer (preprint)
Sharp stability for the Talenti inequality (2026) - L. Carrero - A. Quaas - A. Zuniga (preprint)
Sharp Planar Anisotropic Capillarity Outside Convex Obstacles and Two-Point Rigidity of Transported Boundary Images (2026) - A. Jevnikar - S. Liu - Y. Su (preprint)
A class of degenerate elliptic problems involving the Grushin operator: critical mass and ground states (2026) - Z. Hu - A. Jevnikar - S. H. Moon (preprint)
On Solutions for Singular Toda System on Surfaces with Boundary (2026) - M. Badran (preprint)
Nonabelian Higgs fields from minimal submanifolds (2026)
Recently Modified Papers
- 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 - 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) - 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 - 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) - M. Novaga - F. Onoue - E. Paolini (Submitted Paper)
Optimal sets for a geometric oscillation energy 🟠 (2026) - 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) - S. Kryzhevich - E. Stepanov (J. Convex Anal.)
Minimal points and non-holonomic controlability on compact manifolds (2027) - 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) - T. Guo - N. Karagodin - E. Stepanov (Information and Inference: A Journal of the IMA)
Optimal functional product quantization (2023) - N. Cangiotti - I. Gallo - D. Spitzkopf (Accepted Paper: Physica Scripta)
Nonlinear Schrödinger Equation with magnetic potential on metric graphs (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) - 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)