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

• RTD-B Analisi Matematica al Politecnico di Torino (deadline: 29 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)
• PhD/Postdoctoral position in the Biomathematics group at TU Dortmund (deadline: 10 Aug 2021)
• PhD scholarships (2 positions), NOVA University Lisbon (deadline: 10 Sep 2021)
• Analysis and mathematical models in oncology (deadline: 10 Sep 2021)
• Postdoctoral position at FAU Erlangen-Nürnberg (Germany) (deadline: 15 Sep 2021)
• Chair in Mathematics (University of Bristol) (deadline: 24 Sep 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
• 9 - 20 Aug 2021: 30th Jyväskylä Summer School Jyväskylä, Finland
• 30 Aug - 3 Sep 2021: Geometric Measure Theory and applications Cortona, Palazzone SNS
• 2 - 3 Sep 2021: Nonlinear Elliptic PDEs in Ancona (Online)
• 6 - 10 Sep 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
• 6 - 7 Sep 2021: Variational Methods & Evolution Equations (ON LINE)
• 6 - 7 Sep 2021: PaPa - Padua Paris sub-Riemannian seminar Padova
• 6 - 9 Sep 2021: Modelling Diffusive Systems: Theory & Biological Applications Edinburgh (online)
• 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
• 24 - 24 Sep 2021: GEOMETRIC THEORY OF PDE’S AND SHARP FUNCTIONAL INEQUALITIES Roma, Palazzo Corsini - Via della Lungara, 10
• 6 - 8 Oct 2021: 9th GAMM-Seminar on Analysis of partial differential equations University of Freiburg, Germany
• 17 - 23 Oct 2021: Rajchman, Zygmund, Marcinkiewicz Bedlewo, Poland
• 1 - 5 Nov 2021: New Trends in Geometric PDEs Münster, Germany
• 29 Nov - 3 Dec 2021: Winter school: "Analytical Methods in Quantum and Continuum Mechanics" Torino, Italy.
• 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

• A. Maione - F. Paronetto - E. Vecchi (Submitted Paper)
  $G$-convergence of elliptic and parabolic operators depending on vector fields (2021)
• G. Ascione - D. Castorina - G. Catino - C. Mantegazza (Submitted Paper)
  A matrix Harnack inequality for semilinear heat equations (2021)
• M. Cirant - A. Goffi (Submitted Paper)
  On the Liouville property for fully nonlinear equations with superlinear first-order terms (2021)
• V. Crismale - L. De Luca - A. Kubin - A. Ninno - M. Ponsiglione (Preprint)
  The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$ (2021)
• G. De Philippis - M. Engelstein - L. Spolaor - B. Velichkov (Preprint)
  Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries (2021)
• M. Capolli - A. Pinamonti - G. Speight (Submitted Paper)
  A $C^k$ Lusin approximation theorem for real-valued functions on Carnot Groups (2021)
• A. Hassannezhad - D. Sher (preprint)
  Nodal count for Dirichlet-to-Neumann operators with potential (2021)
• A. Mondino - D. Semola (Preprint)
  Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds (2021)
• S. Della Corte - A. Diana - C. Mantegazza (Submitted Paper)
  Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow (2021)
• A. Cesaroni - H. Kröner - M. Novaga (Submitted Paper)
  Graphical translators for anisotropic and crystalline mean curvature flow (2021)
• E. Davoli - I. Mazari - U. Stefanelli (Submitted Paper)
  Spectral optimisation of inhomogeneous plates (2021)
• M. Sorella - R. Tione (Submitted Paper)
  The four-state problem and convex integration for linear differential operators (2021)
• A. Henrot - M. Michetti (Submitted Paper)
  A comparison between Neumann and Steklov eigenvalues (2021)
• I. Ftouhi (Submitted Paper)
  Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains (2021)
• I. Ftouhi (Submitted Paper)
  Where to place a spherical obstacle so as to maximize the rst Steklov eigenvalue ? (2020)
• I. Ftouhi (Journal of Mathematical Analysis and Applications)
  On the Cheeger inequality for convex sets (2021)
• I. Ftouhi - J. Lamboley (SIAM Journal on Mathematical Analysis)
  Blaschke-Santaló diagram for volume, perimeter and first Dirichlet eigenvalue (2021)
• H. Lavenant - L. Monsaingeon - L. Tamanini - D. Vorotnikov (Submitted Paper)
  Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps (2021)
• A. Mondino - A. Templeton-Browne (Submitted Paper)
  Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity (2021)
• E. Cinti - R. Ognibene - B. Ruffini (Submitted Paper)
  A quantitative stability inequality for fractional capacities (2021)
• A. Braides - L. D'Elia (Preprint)
  Homogenization of discrete thin structures (2021)
• M. Novaga - F. Onoue (Submitted Paper)
  Local Hölder regularity of minimizers for nonlocal denoising problems (2021)
• F. Cianci - G. Dal Maso (Submitted Paper)
  Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks (2021)
• G. Antonelli - E. Bruè - M. Fogagnolo - M. Pozzetta (Preprint)
  On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth (2021)
• F. Boarotto - L. Caravenna - F. Rossi - D. Vittone (Preprint)
  On the Lebesgue measure of the boundary of the evoluted set (2021)

Recently Modified Papers

• C. Mantegazza (Submitted Paper)
  On $C^2$ umbilical hypersurfaces (2021)
• P. Dondl - M. Novaga - S. Wojtowytsch - S. Wolff-Vorbeck (Nonlinearity)
  Connected Coulomb Columns: Analysis and Numerics (2021)
• M. Capolli - A. Pinamonti - G. Speight (Accepted Paper: Calc. Var. Partial Differential Equations)
  A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group (2021)
• R. Alicandro - M. Cicalese - A. Gloria (Nonlinearity)
  Integral representation of the bulk limit of a general class of energies for bounded and unbounded spin systems (2008)
• T. V. ANOOP - K. ASHOK KUMAR - S. Kesavan (Journal of Differential Equations)
  A shape variation result via the geometry of eigenfunctions (2021)
• E. Marconi (Accepted Paper: Arch. Ration. Mech. Anal.)
  Characterization of minimizers of Aviles-Giga functionals on special domains (2021)
• V. Buffa - M. Miranda Jr (Annales Fennici Mathematici)
  Rough traces of $BV$ functions in metric measure spaces (2019)
• V. Buffa - M. Collins - C. Pacchiano Camacho (Accepted Paper: Manuscripta Math.)
  Existence of parabolic minimizers to the total variation flow on metric measure spaces (2020)
• V. Buffa - G. E. Comi - M. Miranda Jr (Accepted Paper: Rev. Mat. Iberoamericana)
  On $BV$ functions and essentially bounded divergence-measure fields in metric spaces (2019)
• F. Santambrogio - W. Shim (Accepted Paper: SIAM J. Contr. Opt.)
  A Cucker-Smale inspired deterministic Mean Field Game with velocity interactions (2021)
• A. Goffi - F. Pediconi (Accepted Paper: The Journal of Geometric Analysis)
  A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds (2020)
• S. Cacace - F. Camilli - A. Goffi (Accepted Paper: ESAIM:COCV)
  A policy iteration method for Mean Field Games (2020)
• M. Cirant - A. Goffi (Archive for Rational Mechanics and Analysis)
  On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations (2020)
• A. Goffi (Accepted Paper: Journal of Evolution Equations)
  Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations (2020)
• C. Mantegazza - M. Pozzetta (Calc. Var.)
  The Lojasiewicz-Simon Inequality for the Elastic Flow (2021)
• G. Del Nin - A. Pluda - M. Pozzetta (J. Geom. Anal.)
  Degenerate elastic networks (2021)
• M. Pozzetta (Accepted Paper: ESAIM: COCV)
  On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves (2021)