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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 Calculus of Variations and Optimal Transport (deadline: 31 Dec 2024)
- 3-year PhD position in Regensburg, Germany (deadline: 31 Dec 2024)
- Research Associate in Analysis of Fluid PDE at University of Bath (deadline: 5 Jan 2025)
- 2 ERC Postdoctoral Positions at the University of Pisa (2-year positions with the possibility of extending) (deadline: 8 Jan 2025)
- Professorship in Applied Analysis at the University of Vienna (deadline: 10 Jan 2025)
- 3-Year PhD position in Applied Analysis at KU Eichstätt-Ingolstadt (deadline: 10 Jan 2025)
- 2.5-Year Postdoc position in Applied Analysis at Universidad Autónoma de Madrid (deadline: 10 Jan 2025)
- 10 PhD Positions in "Mathematics in Natural, Social and Life Sciences" at the Gran Sasso Science Institute (deadline: 10 Jan 2025)
- 2-year postdoc positions at Université Paris-Cité (deadline: 15 Jan 2025)
- Postdoctoral Position in Mathematics at the University of Fribourg (deadline: 15 Jan 2025)
- Postdoc position in PDE in Barcelona (deadline: 15 Jan 2025)
- Junior Visiting Positions 2025-2027 at Centro de Giorgi (deadline: 15 Jan 2025)
- Postdoc in applied analysis at TU Munich (deadline: 15 Jan 2025)
- Postdoc Position in Analysis at UCLouvain, Belgium (deadline: 31 Jan 2025)
- Postdoctoral Fellowship mathematical general relativity & geometric analysis (deadline: 13 Feb 2025)
- 25 Phd fellowships grant, Cofund MathPhDInFrance doctoral programme (deadline: 14 Feb 2025)
- Ph.D. position in Gothenburg (deadline: 24 Feb 2025)
Forthcoming Seminars
- 15 Jan 2025: N. Edelen: Regularity of capillary minimal surfaces
Forthcoming Events
- 9 - 10 Jan 2025: Calculus of Variations and Free Boundary Problems X Dipartimento di Matematica, Università di Pisa
- 13 - 17 Jan 2025: Winter School in Geometric Measure Theory Hangzhou, China
- 19 - 25 Jan 2025: Taiwan Winter School in Analysis Taipei
- 20 Jan - 7 Feb 2025: Calculus of Variations and PDE's in Geometric Analysis Sapienza, Università di Roma
- 27 - 31 Jan 2025: Geometric Measure Theory in Trento Povo (Trento), via sommarive 9, room B107
- 10 - 14 Feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 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
- 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
- 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
- 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
- 26 - 28 May 2025: Optimal control theory and sub-Riemannian geometry in Paris
- 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
- 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)
- 10 - 19 Jun 2025: School in Geometric Measure Theory and some 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
- 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
- 13 - 17 Jul 2025: Warsaw Summer School on Evolutionary PDEs University of Warsaw
- 14 - 18 Jul 2025: PRIN school on Geometry and Gravity SISSA
- 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
Recently Added Papers
- V. De Cicco - V. Chiadò Piat - A. Melchor Hernandez (Preprint)
Relaxation for a degenerate functional with linear growth in the onedimensional case (2024) - M. Carducci - R. Colombo (preprint)
Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian (2024) - M. Cirant - A. R. Mészáros (Submitted Paper)
Long Time Behavior and Stabilization for Displacement Monotone Mean Field Games (2024) - A. Goffi (Preprint)
Remarks on the rate of convergence of the vanishing viscosity process of Hamilton-Jacobi equations (2024) - M. Cicalese - D. Reggiani - F. Solombrino (Preprint)
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^1$ to $S^2$ limit (2024) - G. Leoni - D. Spector (preprint)
On the Trace of $\dot{W}_{a}^{m+1,1}(\mathbb{R}_{+}^{n+1})$ (2024) - D. Barilari - S. Flynn (Preprint)
Refined Strichartz Estimates for sub-Laplacians in Heisenberg and H-type groups (2025) - X. Lamy - A. Zuniga (SIAM J. Math. Anal.)
On the stability of radial solutions to an anisotropic Ginzburg-Landau equation (2021) - M. Del Pino - M. Musso - A. Zuniga (preprint)
Delaunay-like compact equilibria in the liquid drop model (2024) - L. Carrero - A. Quaas - A. Zuniga (preprint)
Existence of solutions to a quasilinear nonlocal PDE (2024) - V. Franceschi - A. Pluda - G. Saracco (Proceedings: Springer INdAM Series (SINDAMS))
Anisotropic Isoperimetric Problems and Related Topics (2024) - G. Antonelli - M. Pozzetta - K. Xu (Preprint)
A sharp spectral splitting theorem (2024) - 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) - E. Davoli - E. Tasso (Submitted Paper)
Non-local non-homogeneous phase transitions: regularity of optimal profiles and sharp-interface limit (2024) - P. Gladbach - J. Maas - L. Portinale (preprint)
Stochastic Homogenisation of nonlinear minimum-cost flow problems (2024) - A. Chiarini - G. Conforti - G. Greco - L. Tamanini (preprint)
A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm (2024) - G. Catino - D. D. Monticelli - A. Roncoroni - X. Wang (Submitted Paper)
Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature (2024) - F. Nobili (Ph.D. Thesis)
Geometric and analytic properties of metric measure spaces through Sobolev calculus (2021) - F. Nobili (preprint)
An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds (2024) - A. Nastasi - C. Pacchiano Camacho (Submitted Paper)
Boundary regularity for quasiminima of double-phase problems on metric spaces (2024) - A. Henrot - A. Lemenant - Y. Privat (Preprint)
Minimization of the first eigenvalue for the Lamé system (2024) - M. Caselli (preprint)
Stable $s$-minimal cones in $\mathbb{R}^2$ are flat for $s \sim 0$ (2024)
Recently Modified Papers
- G. Crasta - V. De Cicco (Accepted Paper: Adv. Calc. Var.)
On the variational nature of the Anzellotti pairing (2024) - M. Carducci (Ann. Mat. Pura Appl.)
Optimal regularity of the thin obstacle problem by an epiperimetric inequality (2023) - L. Portinale - F. Quattrocchi (Accepted Paper: European Journal of Applied Mathematics)
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs (2024) - E. Cabezas-Rivas - S. Moll - V. Pallardó-Julià (Submitted Paper)
Lipschitz regularity for manifold-constrained ROF elliptic systems (2024) - S. Alama - L. Bronsard - I. Topaloglu - A. Zuniga (Calculus of Variations and Partial Differential Equations)
A nonlocal isoperimetric problem with density perimeter (2021) - A. Cesaroni - M. Novaga (Springer INdAM Series)
Minimal periodic foams with equal cells (2024) - M. Novack - D. Restrepo - A. Skorobogatova (Preprint)
Free boundary regularity for semilinear variational problems with a topological constraint (2024) - G. Catino - P. Mastrolia - D. Dameno (J. Math. Pures Appl.)
Some canonical metrics via Aubin's local deformations (2024) - G. Catino - P. Mastrolia - D. D. Monticelli (J. Math. Pures Appl.)
Rigidity of Critical Metrics for Quadratic Curvature Functionals (2023) - L. Koch - M. Ruf - M. Schäffner (J. Funct. Anal.)
On the Lavrentiev gap for convex, vectorial integral functionals (2025) - P. Ambrosio (Calculus of Variations and Partial Differential Equations)
Sharp Sobolev regularity for widely degenerate parabolic equations (2024) - M. Novaga - E. Paolini - E. Stepanov (Submitted Paper)
On the total surface area of potato packings (2024) - F. Nobili - D. Parise (Int. Math. Res. Not.)
Quantitative stability of Sobolev inequalities on compact Riemannian manifolds (2024) - V. Crismale - G. Lazzaroni - R. Rossi (SIAM J. Math. Anal.)
On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model (2024) - E. Caputo - N. Gigli - E. Pasqualetto (Accepted Paper: Journal für die reine und angewandte Mathematik)
Parallel transport on non-collapsed $\mathsf{RCD}(K,N)$ spaces (2021) - L. Dello Schiavo - L. Portinale - F. Sau (Annals of Applied Probability)
Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains (2021) - M. Magnabosco - L. Portinale - T. Rossi (Communications in Contemporary Mathematics)
The strong Brunn--Minkowski inequality and its equivalence with the CD condition (2024) - S. Ishida - H. Lavenant (Accepted Paper: Foundations of computational mathematics)
Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation (2023) - H. Lavenant (Accepted Paper: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
Lifting functionals defined on maps to measure-valued maps via optimal transport (2023) - N. Gigli - L. Tamanini - D. Trevisan (Potential Analysis)
Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty)$ spaces and applications to large deviations (2024) - H. Lavenant - L. Monsaingeon - L. Tamanini - D. Vorotnikov (Calculus of Variations and Partial Differential Equations)
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps (2024) - K. Bołbotowski - G. Bouchitté (preprint)
Kantorovich-Rubinstein duality theory for the Hessian (2024) - B. Han - A. Pinamonti - Z. Xu - K. Zambanini (Accepted Paper: Potential Analysis)
Maz'ya - Shaposhnikova meet Bishop - Gromov (2024) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Accepted Paper: Rendiconti Lincei. Matematica e Applicazioni)
Local Regularity of very weak $s$-harmonic functions via fractional difference quotients (2024) - G. Chiriatti - M. Fasiello - R. Grande - E. Pascali
Self referred equations with an integral boundary condition (2024) - A. Jevnikar - Y. Sire - W. Yang (Accepted Paper: Rev. Mat. Iberoam.)
Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities (2024) - D. Bartolucci - P. Cosentino - A. Jevnikar - C. S. Lin (Accepted Paper: Proc. Amer. Math. Soc.)
On the first eigenvalue of Liouville-type problems (2024) - A. Nastasi (RICERCHE DI MATEMATICA)
Neumann $p$-Laplacian problems with a reaction term on metric spaces (2020)