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Projects
- Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
- Anisotropic geometric variational problems: existence, regularity and uniqueness (Antonio De Rosa)
- Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
- Geometry of Metric Groups (Enrico Le Donne) > papers
- Everything You Always Wanted to Know About the JKO Scheme (Filippo Santambrogio)
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)
News
- 16 Feb 2025: server update
Open Positions
- Ph.D. position in Gothenburg (deadline: 24 Feb 2025)
- Doctoral and post-doctoral positions at Westlake University, Hangzhou, China (deadline: 10 Mar 2025)
- 5-10 Postdoctoral positions at Jyväskylä (deadline: 17 Mar 2025)
- PhD position at Technical University of Munich, group "Multiscale and Stochastic Dynamics" (deadline: 31 May 2025)
Forthcoming Seminars
- 28 Feb 2025: A. S. Baumgartner: Codings for Dynamical Systems
- 28 Feb 2025: A. Zanoni: Parameter estimation and uncertainty propagation for stochastic and deterministic systems
- 28 Feb 2025: A. Bisterzo: Rigidity of an overdetermined heat equation and minimal helicoids in space-forms
- 28 Feb 2025: G. Cooper: Moduli Spaces in Algebraic Geometry: an Introduction
- 28 Feb 2025: L. Weng: The capillary Minkowski problem
- 5 Mar 2025: M. Badran: Harmonic maps to the circle with higher dimensional singular set.
- 19 Mar 2025: I. Fleschler: A sharp extension of Allard’s boundary regularity theorem for area minimizing currents with arbitrary boundary multiplicity
Forthcoming Events
- 17 - 21 Feb 2025: Calculus of Variations - Old Problems and New Directions: Celebrating Jan Kristensen’s academic life on the occasion of his 60th birthday ICMS, Bayes Centre, Edinburgh
- 17 - 21 Feb 2025: 13th Meeting on Nonlinear Evolution PDEs, Fluid Dynamics and Transport Equations Trieste, SISSA (Scuola Internazionale Superiore di Studi Avanzati)
- 19 - 21 Feb 2025: International Workshop on Digital Twins: Mathematical Analysis, Formal Methods and Scientific Machine Learning Università di Padova
- 20 - 21 Feb 2025: Recent progress in PDEs Dipartimento SBAI, Sapienza, Università di Roma
- 24 - 26 Feb 2025: Variational models in Materials Science-III University of Naples Federico II, Accademia Pontaniana
- 10 Mar - 6 Jun 2025: Intensive Period "Quantum Mathematics @ Polimi" (QMP25) Politecnico di Milano
- 12 - 14 Mar 2025: Aachen–Erlangen–Regensburg Young Mathematicians Meeting: From Theory to Applications University of Regensburg
- 17 - 21 Mar 2025: Nonlocal Equations: Analysis and Numerics Bielefeld University
- 24 - 25 Mar 2025: School on New Frontiers in Homogenization and Fractional Calculus Centre de Recerca Matemàtica Barcelona
- 25 - 28 Mar 2025: Durham Symposium on Mean Field Games Durham, UK
- 31 Mar - 4 Jul 2025: Intensive trimester at GSSI on "Particles, Fluids and Patterns: Analytical and Computational Challenges" Gran Sasso Science Institute, L'Aquila, Italy
- 2 - 4 Apr 2025: Il problema di Plateau Università Cattolica del Sacro Cuore, Brescia
- 9 - 11 Apr 2025: Probability, Analysis and Dynamics 2025 Bristol, UK
- 9 - 16 Apr 2025: School on "Selected topics in Calculus of Variations and PDEs" Department of Mathematics, University of Pisa
- 16 - 17 Apr 2025: EYAWKADANAJKOS Institut Camille Jordan, Villeurbanne (Univ. Lyon 1)
- 28 Apr - 2 May 2025: Masterclass: geometry of phase transitions University of Copenhagen
- 22 - 31 May 2025: CIMPA School 2025, Transport optimal, EDP et optimisation applications en sciences des données Essaouira, Morocco
- 26 - 28 May 2025: Optimal control theory and sub-Riemannian geometry in Paris
- 26 - 30 May 2025: INDAM Workshop "Matter of Shapes" Cortona
- 26 - 31 May 2025: CIME school "Existence and regularity for non uniformy elliptic and parabolic problems under $p,q$ and general growth condition" Montecatini Terme
- 26 - 29 May 2025: Topics in Geometric Analysis II Politecnico di Torino
- 1 - 7 Jun 2025: Spring School on Analysis 2025: Function Spaces and Applications XIII Paseky nad Jizerou, Czech Republic
- 1 - 6 Jun 2025: Blurring the lines between pure and applied through mixing Sabhal Mor Ostaig, Isle of Skye
- 1 - 5 Jun 2025: Dynamics of Information Systems conference in London, Middlesex University
- 1 - 5 Jun 2025: Dynamics of Information Systems conference in London, Middlesex University
- 9 - 13 Jun 2025: Analytical Methods in Quantum and Classical Mechanics
- 9 - 13 Jun 2025: Summer School "Mathematical Analysis and Applications” Villa del Grumello, Como (Italy)
- 9 - 13 Jun 2025: Quasiweekend III - Twenty Years On University of Helsinki, Finland
- 10 - 19 Jun 2025: School in Geometric Measure Theory and related topics Dep. of Mathematics (Pisa Univ.) and Centro di Ricerca Matematica E. De Giorgi.
- 16 - 20 Jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
- 16 - 18 Jun 2025: Three days in Sub-Riemannian geometry Bologna
- 16 - 20 Jun 2025: Differential Geometry, Analysis and Epistemology in Milan - a conference in honor of Marco Rigoli's 70th birthday Università degli Studi di Milano
- 16 - 18 Jun 2025: PDEs @ Essex 2025: Regularity Theory of PDEs and Calculus of Variations University of Essex, UK
- 22 - 27 Jun 2025: Summer School on Geometric Analysis and PDEs Chęciny, Poland
- 23 - 27 Jun 2025: Topics in Geometric Analysis Università di Pisa
- 23 - 27 Jun 2025: Workshop: Novel methods of PDEs and function spaces University of Warsaw
- 23 - 27 Jun 2025: International geometric analysis conference in Milan Bocconi University, Milan, Italy
- 23 - 27 Jun 2025: Sub-Riemannian Geometry and Beyond, IV
- 30 Jun - 4 Jul 2025: Topics in Geometric Measure Theory Università di Pisa
- 30 Jun - 4 Jul 2025: Differential Geometry@L'Aquila 2025 Università dell'Aquila
- 30 Jun - 4 Jul 2025: 21st School on Interactions between Dynamical Systems and Partial Differential Equations Centre de Recerca Matemàtica (CRM) - Barcelona
- 7 - 11 Jul 2025: Geometric Methods in Calculus of Variations Centro De Giorgi, Pisa
- 13 - 18 Jul 2025: Warsaw Summer School on Evolutionary PDEs University of Warsaw
- 13 - 26 Jul 2025: Summer school in Geometric Measure Theory Hangzhou, China
- 14 - 18 Jul 2025: PRIN school on Geometry and Gravity SISSA
- 22 - 24 Jul 2025: Workshop on Recent trends in calculus of variations and PDE University of Oldenburg, Germany
- 3 - 5 Sep 2025: Mind the GAP - Young researchers meeting in Geometric Analysis and PDEs University of Trento
- 9 - 13 Sep 2025: Diffusion in Warsaw 2025
- 9 - 12 Sep 2025: Young Researchers Meeting on PDEs II Università di Milano-Bicocca
- 18 - 19 Sep 2025: Advances in Calculus of Variations and Nonlinear Analysis Brescia
- 19 - 19 Sep 2025: Perspectives in the Calculus of Variations - Un incontro in onore di Gianni Dal Maso Accademia Nazionale dei Lincei - Palazzo Corsini - Via della Lungara, 10 - Roma
- 1 - 5 Jun 2026: Nonlinear Analysis, Function Spaces and Applications 13 (NAFSA 13) Prague, Czech Republic
Recently Added Papers
- L. Gennaioli - G. Stefani (Preprint)
Sharp conditions for the BBM formula and asymptotics of heat content-type energies (2025) - M. Cicalese - N. Fusco - V. Julin - A. Kubin (Preprint)
Consistency for the surface diffusion flat flow in three dimensions (2025) - F. Ancona - E. Marconi - L. Talamini (Preprint)
Liouville type theorem and kinetic formulation for 2x2 systems of conservation laws (2025) - A. Prade (Preprint)
Boundary regularity for nonlocal elliptic equations over Reifenberg flat domains (2025) - A. Prade (Proceedings)
Boundary Hölder regularity for the fractional Laplacian over Reifenberg flat domains via ABP maximum principle (2025) - C. Elbar - Poiatti (preprint)
Weak solutions and sharp interface limit of the anisotropic Cahn-Hilliard equation with disparate mobility and inhomogeneous potential (2025) - S. Dweik (Accepted Paper: Communications on Pure and Applied Analysis)
The optimal hole for the best Holder extension (2025) - J. A. Iglesias - R. Kimmel (preprint)
Schrödinger Diffusion for Shape Analysis with Texture (2012) - J. A. Iglesias - C. Kirisits (preprint)
Convective regularization for optical flow (2015) - M. Carioni - Leonardo Del Grande - J. A. Iglesias - H. Schönberger (preprint)
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons (2025) - A. Baradat - A. Hraivoronska - F. Santambrogio (Preprint)
Using Sinkhorn in the JKO scheme adds linear diffusion (2025) - P. Celada - D. Mucci (Submitted Paper)
On generalized Varga materials (2025) - M. Bonacini - I. Topaloglu (preprint)
Stability and minimality of the ball for attractive-repulsive energies with perimeter penalization (2025) - A. Chambolle - V. Crismale (Preprint)
A characterization of Generalized functions of Bounded Deformation (2025) - A. Pacati - G. Tortone - B. Velichkov (preprint)
Some remarks on singular capillary cones with free boundary (2025) - G. Di Fratta - R. Giorgio - L. Lombardini (Preprint)
Nonlocal Micromagnetics: Compactness Criteria, Existence of Minimizers, and Brown's Fundamental Theorem (2025) - F. Nobili - M. Novaga - E. Paolini (Submitted Paper)
Periodic double tilings of the plane (2025)
Recently Modified Papers
- L. Benatti - C. Mantegazza - F. Oronzio - A. Pluda (Preprint)
A Note on Ricci-pinched three-manifolds (2024) - L. Benatti - A. León Quirós - F. Oronzio - A. Pluda (Preprint)
Nonlinear potential theory and Ricci-pinched 3-manifolds (2024) - E. Paolini - E. Stepanov (Preprint)
On the Steiner tree connecting a fractal set (2023) - M. Novaga - E. Paolini - E. Stepanov (Submitted Paper)
On the total surface area of potato packings (2024) - M. Huesmann - M. Goldman - D. Trevisan (preprint)
Asymptotics for Random Quadratic Transportation Costs (2024) - S. Dweik (Preprint)
The limit of a nonlocal $p-$Laplacian obstacle problem with nonhomogeneous term as $p \to \infty$ (2025) - M. Caponi - V. Crismale (ESAIM Control Optim. Calc. Var.)
A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage (2025) - E. Davoli - R. Ferreira - I. Fonseca - J. A. Iglesias (Journal of Mathematical Imaging and Vision)
Dyadic partition-based training schemes for TV/TGV denoising (2024) - M. Caselli (preprint)
Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$ (2024) - D. Mucci (Submitted Paper)
A relaxation result for a second order energy of mappings into the sphere (2023) - M. Novaga - L. Sciaraffia (Interfaces and Free Boundaries)
Singularities of the network flow with symmetric initial data (2025) - A. De Rosa - A. Khajavirad (Math. Program.)
Explicit convex hull description of bivariate quadratic sets with indicator variables (2024) - F. Giannetti - G. Stefani (Topol. Methods Nonlinear Anal.)
On the monotonicity of non-local perimeter of convex bodies (2024) - V. Crismale - G. Lazzaroni - R. Rossi (Ann. Mat. Pura Appl.)
Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish (2023) - V. Crismale - R. Rossi (SIAM J. Math. Anal.)
Balanced Viscosity solutions to a rate-independent coupled elasto-plastic damage system (2021) - V. Crismale (Nonlinear Analysis)
Energetic solutions for the coupling of associative plasticity with damage in geomaterials (2022) - C. Afeltra - A. Pinamonti (Preprint)
A CR structure with blowing up solutions to the CR Yamabe problem (2025) - A. Lerario - L. Rizzi - D. Tiberio (Accepted Paper: Math. Ann.)
Quantitative approximate definable choices (2024) - E. Caputo - N. Cavallucci (Int. Math. Res. Not.)
A geometric approach to Poincaré inequality and Minkowski content of separating sets (2024) - E. Caputo - N. Cavallucci (Accepted Paper: Advances in Calculus of Variations)
Poincaré inequality and energy of separating sets (2024) - R. Cristoferi - G. Fissore (Advances in Calculus of Variations)
Two dimensional graph model for epitaxial crystal growth with adatoms (2024) - R. Ognibene - B. Velichkov (Preprint)
Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems (2024) - C. Bernardini - A. Cesaroni (Nonlinear Analysis)
Boundary value problems for Choquard equations (2025)