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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)
Open Positions
- PhD position in DFG Emmy Noether research group "Geometric functional inequalities and their stability" (deadline: 31 Mar 2025)
- 2 PhD Positions in Mathematics at the University of Fribourg, Switzerland (deadline: 1 Apr 2025)
- 2 post-doc positions in ANR Project SOCOT (deadline: 20 Apr 2025)
- ValER 2025 call for permanent positions of distinguished researcher in the Valencian Community (deadline: 22 Apr 2025)
- PhD position at Technical University of Munich, group "Multiscale and Stochastic Dynamics" (deadline: 31 May 2025)
Forthcoming Seminars
- 2 Apr 2025: L. Martinazzi: Variational Problems under topological constraints
- 14 May 2025: A. De Rosa: Min-max construction of anisotropic minimal hypersurfaces
Forthcoming Events
- 10 Mar - 6 Jun 2025: Intensive Period "Quantum Mathematics @ Polimi" (QMP25) Politecnico di Milano
- 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
- 12 - 13 May 2025: Women in Mathematics Stockholm 2025
- 14 - 16 May 2025: Variational and Analytical aspects of Geometric PDEs Scuola Normale Superiore, Aula Dini
- 16 - 16 May 2025: Calculus of Variations & Applications in Florence
- 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.
- 11 - 14 Jun 2025: WODCA 2025 - Workshop on Optimization, Dynamics and Convex Analysis Aveiro
- 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
- 19 - 20 Jun 2025: Workshop on Variational Problems and PDEs Naples (Italy)
- 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
- 25 - 27 Jun 2025: Three days in Calculus of Variations TU Wien (Vienna)
- 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
- 30 Jun - 4 Jul 2025: Regularity aspects of elliptic and parabolic PDE Thessaloniki, Greece
- 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
- 14 Jul - 27 Mar 2025: Festum Pi Chania, Greece
- 21 - 23 Jul 2025: CoScaRa Workshop: Deterministic and Stochastic Advection in Fluid Dynamics Basel, Switzerland
- 21 - 25 Jul 2025: Nonlinear PDEs in Guimarães 2025 Guimarães, Portugal
- 22 - 24 Jul 2025: Workshop on Recent trends in calculus of variations and PDE University of Oldenburg, Germany
- 28 Jul - 1 Aug 2025: Interactions between convex geometry and spectral analysis Montréal
- 26 - 29 Aug 2025: Spectral Theory Workshop Reading, UK
- 31 Aug - 5 Sep 2025: Summer School "Curvature & Applications" Lake Chiemsee, Germany
- 1 - 5 Sep 2025: British Isles Graduate Workshop VI: Minimal surfaces Totland, YHA, Isle of Wight
- 3 - 5 Sep 2025: Mind the GAP - Young researchers meeting in Geometric Analysis and PDEs University of Trento
- 8 - 12 Sep 2025: Conference: Frontiers in Calculus of Variations and Applied Analysis TUM
- 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
- 24 - 26 Sep 2025: Hyperbolic Problems in Nürnberg
- 24 - 26 Sep 2025: Cauchy-Riemann Geometry and Subelliptic Theory Matera
- 22 - 24 Oct 2025: Variational Analysis of complex systems in Materials Science, Physics and Biology FBK-Polo Umanistico Via Santa Croce, 77 Trento
- 1 - 5 Jun 2026: Nonlinear Analysis, Function Spaces and Applications 13 (NAFSA 13) Prague, Czech Republic
Recently Added Papers
- V. Crismale - M. Friedrich - J. Seutter (Preprint)
Adaptive finite element approximation for quasi-static crack growth (2025) - N. Drago - S. Mazzucchi - A. Pinamonti (Preprint)
Chernoff solutions of the heat and the Schrödinger equation in the Heisenberg group (2025) - P. Cesana - E. Fabbrini - M. Morandotti (Preprint)
Variational formulation of planar linearized elasticity with incompatible kinematics (2025) - G. Del Nin - L. De Luca (Preprint)
The square sticky disk: crystallization and gamma-convergence to the octagonal anisotropic perimeter (2025) - S. Di Marino - E. Naldi - S. Villa (Preprint)
Inexact JKO and proximal-gradient algorithms in Wasserstein spaces (2025) - F. van Maarschalkerwaart - S. Mukherjee - M. S. Landman - C. Brune - M. Carioni (Accepted Paper: SSVM 2025)
Perturbation-Aware Distributionally Robust Optimization for Inverse Problems (2025) - E. Maggiorelli - F. Riva - E. G. Tolotti (Preprint)
A free boundary approach to the quasistatic evolution of debonding models (2025) - E. Caputo - J. Koivu - D. Lučić - T. Rajala (preprint)
Closed BV-extension and $W^{1,1}$-extension sets (2025) - A. Braides - F. Caragiulo (Preprint)
Modulated phases in Ising systems with long-range antiferromagnetic and short-range ferromagnetic interactions (2025) - P. Acampora - J. Lamboley (preprint)
Sharp quantitative Talenti's inequality in particular cases (2025) - L. Kreutz - L. Briani - M. Cicalese (Preprint)
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories (2025) - M. Caselli - M. Freguglia - N. Picenni (preprint)
Coercivity and Gamma-convergence of the $p$-energy of sphere-valued Sobolev maps (2025) - E. Pasqualetto - T. Rajala (preprint)
A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces (2025) - G. Carvalho - J. Matias - E. Zappale (Accepted Paper: Communications in Contemporary Mathematics)
Asymptotic analysis of a clamped thin multidomain allowing for fractures and discontinuities (2025) - N. De Ponti - G. E. Sodini - L. Tamanini (Preprint)
The infimal convolution structure of the Hellinger–Kantorovich distance (2025) - G. C. Brusca - D. Donati - C. Trifone (Submitted Paper)
Singular perturbations models in phase transitions for anisotropic higher-order materials (2025) - R. Continolo - V. Lorenzini - R. Scala - G. Scianna (Preprint)
Regularity and convergence of critical points of an Ambrosio-Tortorelli functional with linear growth and of its $\Gamma$-limit (2025) - C. Maor - M. G. Mora (Submitted Paper)
Rigorous analysis of shape transitions in frustrated elastic ribbons (2025) - G. Dal Maso - R. Toader (Arch. Rational Mech. Anal.)
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms (2024) - D. Brazke - G. Götzmann - H. Knüpfer (preprint)
$\Gamma$-Convergence of Higher-Order Phase Transition Models (2025) - G. E. Sodini - L. Dello Schiavo (Preprint)
The Hellinger-Kantorovich metric measure geometry on spaces of measures (2025) - P. Baroni (J. Differential Equations)
Gradient continuity for $p(x)$-systems under minimal conditions on the exponent (2023) - P. Baroni - A. Coscia (Electronic Journal of Differential Equations)
Gradient regularity for non-autonomous functionals with Dini or non-Dini continuous coefficients (2022) - P. Baroni (Accepted Paper: Calc. Var. Partial Differ. Equ.)
A new condition ensuring gradient continuity for minimizers of non-autonomous functionals with mild phase transition (2025) - M. Bresciani - M. Friedrich (preprint)
Core-radius approximation of singular minimizers in nonlinear elasticity (2025) - G. Fusco (preprint)
Variational analysis of discrete Dirichlet problems in periodically perforated domains (2025) - V. Arya - D. De Gennaro - A. Kubin (preprint)
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus (2025)
Recently Modified Papers
- F. Anceschi - G. Palatucci - M. Piccinini (Preprint)
De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions (2025) - 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) - P. Cesana - A. Grillo - M. Morandotti - A. Pastore (Accepted Paper: SIAM J. Appl. Math.)
Dissipative evolution of Volterra disclinations (2025) - L. Branca - G. Catino - D. Dameno - P. Mastrolia (Accepted Paper: Ann. Glob. Anal. Geom.)
Rigidity of Einstein manifolds with positive Yamabe invariant (2025) - G. Catino - L. Mari - P. Mastrolia - A. Roncoroni (Submitted Paper)
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces (2024) - G. Batzolis - M. Carioni - C. Etmann - S. Afyouni - Z. Kourtzi - C. B. Schönlieb (Accepted Paper: Foundations of Data Science)
CAFLOW: Conditional Autoregressive Flows (2024) - K. Bredies - M. Carioni - M. Holler - Y. Korolev - C. B. Schönlieb (Accepted Paper: Numerische Mathematik)
A sparse optimization approach to infinite infimal convolution regularization (2024) - V. Franceschi - A. Pinamonti - G. Saracco - G. Stefani (J. London Math. Soc. (2))
The Cheeger problem in abstract measure spaces (2024) - L. Briani - D. Bucur (Calc. Var.)
Mean-to-max ratio of the torsion function and honeycomb structures (2023) - L. Briani - G. Buttazzo - S. Guarino Lo Bianco (Rev. Mat. Iberoam.)
On a reverse Kohler-Jobin inequality (2022) - F. Baudoin - E. Grong - L. Rizzi - V. M. Sylvie (Accepted Paper: Calc. Var. Partial Differential Equations)
Comparison theorems on H-type sub-Riemannian manifolds (2019) - N. Picenni (ESAIM: COCV)
Staircasing effect for minimizers of the one-dimensional discrete Perona-Malik functional (2024) - R. Ferreira - J. Matias - E. Zappale (Preprint: Nonlinear Analysis: Real World Applications)
Junction in a thin multi-domain for nonsimple grade two materials in BH (2024) - M. Goldman - L. Koch (Accepted Paper: Proceedings of the AMS)
Partial regularity for optimal transport with $p$-cost away from fixed points (2024) - V. De Cicco - V. Chiadò Piat - A. Melchor Hernandez (Accepted Paper: NoDEA)
Relaxation for degenerate nonlinear functionals in the onedimensional case (2024) - G. Antonelli - M. Pozzetta (Accepted Paper: J. Funct. Anal.)
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature (2023) - M. Pozzetta (Proceedings)
Isoperimetry on manifolds with Ricci bounded below: overview of recent results and methods (2024) - I. Lucardesi - D. Zucco (The Journal of Geometric Analysis)
Three quantitative versions of the Pál inequality (2025) - A. Pinamonti - F. Serra Cassano - K. Zambanini (Accepted Paper: J. Funct. Anal.)
On some intrinsic differentiability properties for Absolutely Continuous functions between Carnot groups and the Area formula (2024) - E. G. Tolotti (Submitted Paper)
Stability of the Von Kármán regime for thin plates under Neumann boundary conditions (2024) - E. G. Tolotti (Submitted Paper)
On the hierarchy of plate models for a singularly perturbed multi-well nonlinear elastic energy (2025) - G. Dal Maso - F. Sapio (Milan Journal of Mathematics)
Quasistatic limit of a dynamic viscoelastic model with memory (2021) - G. Catino - D. Dameno - P. Mastrolia (Math. Nachr.)
On Riemannian four-manifolds and their twistor spaces: a moving frame approach (2024) - V. Magnani - D. Tiberio (J. Geom. Anal.)
The Michor-Mumford conjecture in Hilbertian H-type groups (2025) - T. Schmidt - J. H. Schütt (Accepted Paper: J. Lond. Math. Soc., II. Ser.)
Partial regularity for variational integrals with Morrey-Hölder zero-order terms, and the limit exponent in Massari's regularity theorem (2025) - A. Cucinotta (Journal of Functional Analysis)
Minimal Surface Equation and Bernstein Property on RCD spaces (2024) - P. Baroni - V. Bögelein (Rev. Mat. Iberoam.)
Calderón-Zygmund estimates for parabolic $p(x,t)$-Laplacian systems (2014) - P. Baroni (Calc. Var. Partial Differ. Equ.)
Riesz potential estimates for a general class of quasilinear equations (2014) - P. Baroni (Nonlinear Analysis)
On the relation between generalized Morrey spaces and measure data problems (2018) - M. Bresciani - M. Friedrich - C. Mora-Corral (Archive of Rational Mechanics and Analysis)
Variational models with Eulerian-Lagrangian formulation allowing for material failure (2024) - M. Bresciani - M. Friedrich (Accepted Paper: SIAM Journal of Mathematical Analysis)
Quasistatic growth of cavities and cracks in the plane (2024) - T. Caillet - F. Santambrogio (Accepted Paper: Bulletin of the Hellenic Mathematical Society)
Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme) (2025) - J. Ok - G. Scilla - B. Stroffolini (Journal of Differential Equations)
Partial regularity for degenerate systems of double phase type (2025)