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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)
- 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. Caponi - M. Di Francesco - E. Radici (preprint)
The variational formulation of the follow-the-leader model (2026) - A. Nifa (Preprint)
Prime geodesic periods on 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 (Preprint)
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) - 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) - I. Dorofeev - A. Pigazzini (Preprint)
Index and nullity of critical spherical catenoids in hyperbolic three-space (2026) - V. Corica - F. Santilli (preprint)
Non-local Interfacial Energies in Grain Boundaries via Dirichlet-to-Neumann Map and Energetic scaling (2026) - A. De Rosa - R. Neumayer - H. Yu (preprint)
Singular set estimates in quasilinear Alt-Caffarelli problems (2026) - S. Conti - G. Dolzmann - P. Dondl (preprint)
A frame-indifferent rank-one convex function in three dimensions which is not quasiconvex (2026)
Recently Modified Papers
- 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) - L. Braglia - L. Brasco (Preprint)
Regularity for eigenvalue-type equations in sets with thick complement (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) - F. Bianchi - F. Bozzola - L. Brasco (Preprint)
A geometric lower bound for the clamped plate eigenvalue problem in low dimensions and extensions (2026) - P. Ambrosio - S. Ciani - G. Cupini (Accepted Paper)
Widely degenerate anisotropic diffusion: local boundedness and semicontinuity (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) - F. Deangelis (Preprint)
Classification of boundary blow-ups for the Mumford--Shah functional with Dirichlet boundary conditions (2026) - A. Braides - J. Kristensen - S. Scalabrino (Submitted Paper)
Energies with values in networks and geometric quasiconvexity (2026)