Welcome to the Home Page of the Research Group in Calculus of Variations and Geometric Measure Theory at Pisa. Look here to know more about us. Please, feel free to download and use all the material you find interesting. If you want to receive regularly the group news, subscribe to our mailing list in the mail section.

If you want to receive an account to insert your preprints, fill-in the account request.

Projects

• Geometric Measure Theory in non Euclidean spaces (Luigi Ambrosio) > papers
• Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
• Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
• Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
• Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)
• Geometry of Metric Groups (Enrico Le Donne) > papers
• Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)

Open Positions

• One-year postdoc position on "Sparse coding for bio-inspired vision models" - L2S, CentraleSupélec, Gif-sur-Yvette, France (deadline: 30 Jun 2021)
• Assistant Professor/RTDb at Rome Tor Vergata (deadline: 8 Jul 2021)
• Assistant Professor/RTDb at Rome Tor Vergata (deadline: 8 Jul 2021)
• Full professor position in Analysis at University of Milan (deadline: 12 Jul 2021)
• 1 year Post-doc position in PDE at Rome - Sapienza (deadline: 17 Jul 2021)
• Assistant Professor in geometric non-linear PDEs (5 Years) (deadline: 31 Jul 2021)
• Postdoc position at WPI - Vienna/Milano (deadline: 31 Jul 2021)
• Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China (deadline: 11 Feb 2022)
• Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2022)

Forthcoming Events

• 18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
• 21 - 25 Jun 2021: Tenth Summer School in Analysis and Applied Mathematics (CANCELLED) Dipartimento di Matematica - Sapienza, Università di Roma
• 21 - 25 Jun 2021: Calculus of Variations and PDEs: recent developments and future directions (hybrid) ETH Zurich
• 28 Jun - 2 Jul 2021: Como Lake School Mathematical Models for Bio-Medical Sciences moved to 2021 Villa del Grumello, Como
• 1 - 6 Jul 2021: Durham Days of Analysis and PDEs Durham University (remotely via zoom)
• 12 - 16 Jul 2021: National Meeting of the Portuguese Mathematical Society (ONLINE)
• 13 - 16 Jul 2021: Recent Advances in Gradient Flows, Kinetic Theory, and Reaction-Diffusion Equations Online
• 19 - 28 Jul 2021: Some free boundary problems in physics and biology
• 9 - 20 Aug 2021: 30th Jyväskylä Summer School Jyväskylä, Finland
• 6 - 10 Sep 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
• 6 - 7 Sep 2021: Variational Methods & Evolution Equations (ON LINE)
• 20 Sep - 17 Dec 2021: Distributed Solutions to Complex Societal Problems University of Chicago, USA
• 20 - 25 Sep 2021: Calculus of Variations-Back to Carthage: POSTPONED to 16-20 May 2022 Carthage
• 6 - 8 Oct 2021: 9th GAMM-Seminar on Analysis of partial differential equations University of Freiburg, Germany
• 21 - 25 Feb 2022: Free Boundary Problems and Related Evolution Equations Erwin Schrödinger Institute (ESI), Vienna, Austria
• 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
• 16 - 22 May 2022: Calculus of Variations-Back to Carthage Carthage
• 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
• 13 - 18 Jun 2022: 20 years of Summer Schools on CalcVar in Rome Department of Mathematics, Sapienza, Rome
• 27 - 29 Jun 2022: Young Women in Geometric Analysis Bonn
• 18 - 22 Jul 2022: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
• 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

Recently Added Papers

• P. Gladbach - E. Kopfer - J. Maas - L. Portinale (Journal des Mathématiques Pures et Appliquées)
  Homogenisation of one-dimensional discrete optimal transport (2020)
• D. Forkert - J. Maas - L. Portinale (preprint)
  Evolutionary $Γ$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions (2020)
• L. Portinale - U. Stefanelli (Advances in Mathematical Sciences and Applications)
  Penalization via global functionals of optimal-control problems for dissipative evolution (2019)
• D. Feliciangeli - A. Gerolin - L. Portinale (preprint)
  A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature (2021)
• M. Bonafini - B. Schmitzer (Accepted Paper: Numerische Mathematik)
  Domain decomposition for entropy regularized optimal transport (2020)
• M. Bonafini - I. Medina - B. Schmitzer (preprint)
  Asymptotic analysis of domain decomposition for optimal transport (2021)
• M. Bonafini - M. Fornasier - B. Schmitzer (Submitted Paper)
  Data-driven entropic spatially inhomogeneous evolutionary games (2021)
• F. Essebei - A. Pinamonti - S. Verzellesi (Preprint)
  Integral representation of local functionals depending on vector fields (2021)
• A. Pinamonti - G. Stefani (Submitted Paper)
  Existence and uniqueness theorems for some semi-linear equations on locally finite graphs (2021)
• D. Mucci - P. M. Mariano (Submitted Paper)
  Micro-slip-induced multiplicative plasticity: existence of energy minimizers (2021)
• M. Colombo - S. Di Marino - F. Stra (preprint)
  First order expansion in the semiclassical limit of the Levy-Lieb functional (2021)
• F. Giannetti - G. Stefani (Submitted Paper)
  On the convex components of a set in $\mathbb{R}^n$ (2021)
• A. Arroyo-Rabasa - P. Bonicatto (preprint)
  A Bourgain-Brezis-Mironescu representation for functions with bounded deformation (2021)
• A. Chambolle - L. Kreutz (Preprint)
  Crystallinity of the homogenized energy density of periodic lattice systems (2021)
• A. Carbotti - S. Dipierro - E. Valdinoci (Lecture Notes)
  Local density of Solutions to Fractional Equations (2019)
• Q. Mérigot - F. Santambrogio - C. Sarrazin (Preprint)
  Non-asymptotic convergence bounds for Wasserstein approximation using point clouds (2021)
• V. Franceschi - A. Pratelli - G. Stefani (Preprint)
  On the Steiner property for planar minimizing clusters. The anisotropic case. (2021)
• V. Franceschi - A. Pratelli - G. Stefani (Preprint)
  On the Steiner property for planar minimizing clusters. The isotropic case. (2021)
• A. Bach - T. Esposito - R. Marziani - C. I. Zeppieri (Preprint)
  Interaction between oscillations and singular perturbations in a one-dimensional phase-field model (2021)
• G. Albi - S. Almi - M. Morandotti - F. Solombrino (Submitted Paper)
  Mean-field selective optimal control via transient leadership (2021)
• M. Santilli - B. Schmidt (Submitted Paper)
  Two phase models for elastic membranes with soft inclusions (2021)
• L. Angiuli - S. Ferrari - D. Pallara (Submitted Paper)
  Functional inequalities for some generalised Mehler semigroups (2021)
• A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Submitted Paper)
  Asymptotics of the $s$-fractional Gaussian perimeter as $s\to 0^+$ (2021)

Recently Modified Papers

• M. Goldman - M. Novaga - B. Ruffini (Accepted Paper: Proc. Amer. Math. Soc.)
  Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions (2021)
• M. Bonafini - E. Oudet (Interfaces and Free Boundaries)
  A convex approach to the Gilbert-Steiner problem (2020)
• M. Bonafini - G. Orlandi - E. Oudet (Advances in Calculus of Variations)
  Variational approximation of functionals defined on 1-dimensional connected sets in $\mathbb{R}^n$ (2019)
• S. Mukherjee (Nonlinear Analysis)
  On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group (2021)
• S. Mukherjee - Y. Sire (Accepted Paper: Analysis in Theory and Applications)
  Regularity of inhomogeneous Quasi-linear equations on the Heisenberg Group (2020)
• A. Cesaroni - M. Novaga (Accepted Paper: Interfaces Free Bound.)
  $K$ mean-convex and $K$-outward minimizing sets (2020)
• B. Fall - F. Santambrogio - D. Seck (Accepted Paper: Mathematics in Engineering)
  Shape Derivative for Obstacles in Crowd Motion (2021)
• M. Bresciani (Accepted Paper: Mathematical Models and Methods in Applied Sciences)
  Linearized von Kármán theory for incompressible magnetoelastic plates (2020)
• A. De Rosa - S. Gioffrè (J. Reine Angew. Math.)
  Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces (2018)
• L. Benatti - M. Fogagnolo - L. Mazzieri (preprint)
  Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature (2021)
• M. Santilli (Comm. Partial Differential Equations)
  Distance functions with dense singular sets (2021)
• M. Santilli (Calc. Var. Partial Differential Equations)
  Second order rectifiability of varifolds of bounded mean curvature (2021)
• A. De Rosa - S. Kolasiński - M. Santilli (Arch. Ration. Mech. Anal.)
  Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets (2019)