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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 at Radboud University (deadline: 29 May 2025)
- PhD position at Technical University of Munich, group "Multiscale and Stochastic Dynamics" (deadline: 31 May 2025)
- Call of interest: position in Analysis - University of Trento (deadline: 31 May 2025)
- 2 (two) assistant professor positions at Faculty of Science of the University of Lisbon in the area of Mathematical Analysis (deadline: 18 Jun 2025)
- PhD in Udine (deadline: 20 Jun 2025)
- 2x PhD Positions at the University of Pisa (Expressions of Interest are Welcome) (deadline: 15 Jul 2025)
Forthcoming Seminars
- 21 May 2025: G. Siclari: Quantitative Spectral Stability for compact operators
Forthcoming Events
- 10 Mar - 6 Jun 2025: Intensive Period "Quantum Mathematics @ Polimi" (QMP25) Politecnico di Milano
- 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
- 19 - 22 May 2025: International Conference on Sobolev Inequalities and Related Topics CUNEF University-Madrid
- 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
- 29 - 30 May 2025: Variational and PDE problems in Geometric Analysis, V Bologna
- 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
- 3 - 5 Jun 2025: Variational Methods and Non-Smooth Geometric Structures with Applications Bocconi University, Milan
- 6 - 6 Jun 2025: Recent developments in Nonlocal Theory Centro S. Elisabetta - Università di Parma
- 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
- 9 - 13 Jun 2025: INdAM Workshop "Differential Equations and Nonlinear Models DENoM" INdAM, Rome
- 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
- 30 Jun - 4 Jul 2025: Mini-courses in Mathematical Analysis 2025 Padova, Italy
- 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 - 27 Jul 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
- 28 - 30 Jul 2025: Regensburg GAP Days Fakultät für Mathematik, Universität Regensburg
- 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
- 1 - 3 Sep 2025: Three days between Analysis and Geometry in Trento - 4° Edition Trento
- 3 - 5 Sep 2025: Boundary Analysis for Dispersive and Viscous Fluids Pavia
- 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
- 8 - 11 Sep 2025: Perspectives in Geometric Analysis Politecnico di Milano
- 9 - 13 Sep 2025: Diffusion in Warsaw 2025
- 9 - 12 Sep 2025: Young Researchers Meeting on PDEs II Università di Milano-Bicocca
- 10 - 12 Sep 2025: New Challenges in Hyperbolic Problems Bernoulli Center, EPFL, Lausanne
- 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
- 22 - 26 Sep 2025: Warsaw Analysis Days Event WADE25 University of Warsaw
- 24 - 26 Sep 2025: Hyperbolic Problems in Nürnberg
- 24 - 26 Sep 2025: Cauchy-Riemann Geometry and Subelliptic Theory Matera
- 29 Sep - 1 Oct 2025: Mathematical Analysis of Fluid Flows by Variational Methods Berlin
- 13 - 17 Oct 2025: Workshop "Optimal transport and metric geometry across structures" Bernoulli Center, EPFL, Lausanne
- 20 - 24 Oct 2025: Morphogenesis and morphing: 200 years after Gauss Centro De Giorgi, Pisa
- 22 - 24 Oct 2025: Variational Analysis of complex systems in Materials Science, Physics and Biology FBK-Polo Umanistico Via Santa Croce, 77 Trento
- 3 - 7 Nov 2025: 2nd Atlantic conference in nonlinear PDEs: Harmonic Analysis, Dispersive and Elliptic Equations Lisbon, Portugal
- 5 - 9 Jan 2026: ICMS Winter School: PDE in Geometry and Analysis ICMS in Edinburgh
- 12 - 16 Jan 2026: Calculus of Variations and applications CIRM, Marseille, France
- 20 - 23 Apr 2026: Valentia Geometrica 2026: a workshop on Geometric Analysis Universitat de València
- 1 - 5 Jun 2026: Nonlinear Analysis, Function Spaces and Applications 13 (NAFSA 13) Prague, Czech Republic
Recently Added Papers
- G. Bellettini - S. Kholmatov (Preprint)
A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D (2025) - G. Speight - S. Zimmerman (Submitted Paper)
Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups (2025) - E. Marconi - L. V. Spinolo (Preprint)
Well-posedness results for the Generalized Aw-Rascle-Zhang model (2025) - E. Marconi - L. V. Spinolo (Preprint)
Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit (2025) - M. Carioni - J. Lohmann (Preprint)
Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation (2025) - L. Branca - G. Catino - D. Dameno (Submitted Paper)
Bach-pinched metrics on closed manifolds (2025) - A. Defranceschi - L. Lussardi - E. Vitali (Math. Mech. Solids)
Variational evolution of discrete one-dimensional second-order functionals (2025) - S. Borza - L. Rizzi (Preprint)
Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures (2025) - E. Ficola - T. Schmidt (Submitted Paper)
Existence theory for linear-growth variational integrals with signed measure data (2025) - L. Brasco - L. Briani - F. Prinari (Preprint)
Extremals for Poincaré-Sobolev sharp constants in Steiner symmetric sets (2025) - P. Bella - F. Lemming - R. Marziani - F. Oschmann (Preprint)
Brinkman's law as $\Gamma$-limit of compressible low Mach Navier-Stokes equations and application to randomly perforated domains (2025) - A. Diana (Preprint)
Stability and convergence for the length-penalized elastic flow of curves with partial free boundary (2025) - A. C. Barroso - J. Matias - M. Morandotti - D. R. Owen - E. Zappale (Submitted Paper)
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations (2025) - G. Bellettini - R. Marziani - R. Scala (Preprint)
On jump minimizing liftings for $\mathbb S^1$-valued maps and connections with Ambrosio-Tortorelli-type $\Gamma$-limits (2025) - J. A. Carrillo - C. Elbar - S. Fronzoni - J. Skrzeczkowski (Preprint)
Rate of Convergence for a Nonlocal-to-local Limit in One Dimension (2025) - F. Ferrari - D. Giovagnoli - D. Jesus (Preprint)
On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem (2025) - F. Ferrari - N. Forcillo - D. Giovagnoli - D. Jesus (Preprint)
Free boundary regularity for the inhomogeneous one-phase Stefan problem (2025) - P. M. Mariano - D. Mucci (Journal of Differential Equations)
Rod deformations with possibly irrecoverable corners: conditions for global injectivity (2025) - M. Magnabosco - A. Mondino - T. Rossi (Preprint)
On the rectifiability of CD(K,N) and MCP(K,N) spaces with unique tangents (2025) - D. Corona - R. Giambò - P. Piccione (Mathematics of Control, Signals, and Systems)
A note on the regularity and the existence of Riemannian k-splines (2025)
Recently Modified Papers
- D. Pallara - S. Polidoro (Discrete Contin. Dyn. Syst. Ser. S)
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups (2024) - D. Pallara - S. Polidoro (Accepted Paper: Calculus of variations and partial differential equations)
Mean value formulas for classical solutions to subelliptic evolution equations in stratified Lie groups (2023) - E. Malagoli - D. Pallara - S. Polidoro (Mathematische Nachrichten)
Mean value formulas for classical solutions to uniformly parabolic equations in divergence form (2023) - L. Angiuli - S. Ferrari - D. Pallara (Journal of Theoretical Probability)
Functional inequalities for some generalised Mehler semigroups (2023) - G. Bevilacqua - S. Stuvard - B. Velichkov (Accepted Paper: Math. Annalen)
Classical solutions to the soap film capillarity problem for plane boundaries (2024) - F. Cavalletti - D. Manini - A. Mondino (Accepted Paper: Communications in Mathematical Physics)
Optimal transport on null hypersurfaces and the null energy condition (2024) - A. Bach - T. Esposito - R. Marziani - C. I. Zeppieri (Siam J. Math. Anal.)
Gradient damage models for heterogeneous materials (2022) - B. Lledos - R. Marziani - H. Olbermann (SIAM Journal on Mathematical Analysis)
Interacting phase fields yielding phase separation on surfaces (2024) - G. Di Fratta - R. Giorgio - L. Lombardini (Preprint)
Nonlocal Micromagnetics: Compactness Criteria, Existence of Minimizers, and Brown's Fundamental Theorem (2025) - S. Cito (Preprint)
Optimality and stability of the radial shapes for the Sobolev trace constant (2025) - V. Crismale - L. De Luca - R. Scala (Accepted Paper: Calc. Var. Partial Differential Equations)
Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes (2024) - L. Caravenna - E. Marconi - A. Pinamonti (Accepted Paper: SIAM J. Math. Anal.)
Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group (2024) - E. Caputo - N. Cavallucci (Accepted Paper: Proc. R. Soc. Edinb., Sect. A, Math.)
Sobolev spaces via chains in metric measure spaces (2024) - H. Chan - M. Freguglia - M. Inversi (Accepted Paper: Calc. Var. PDE)
$Γ$-Limsup estimate for a nonlocal approximation of the Willmore functional (2024) - G. Alberti - D. Bate - A. Marchese (J. Funct. Anal.)
On the closability of differential operators (2025) - P. Celada - D. Mucci (Submitted Paper)
On generalized Varga materials (2025) - M. Gobbino - N. Picenni (Calc. Var. PDE)
Multi-scale analysis of minimizers for a second order regularization of the Perona-Malik functional (2025) - C. Leone - G. Scilla - F. Solombrino - A. Verde (SIAM Journal on Mathematical Analysis)
Strong existence for free-discontinuity problems with non-standard growth (2025) - D. Corona - S. Nardulli - R. Oliver-Bonafoux - G. Orlandi - P. Piccione (Mathematische Annalen)
Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary (2025)