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

• Five PhD position at Roma Tor Vergata University (deadline: 17 May 2021)
• Post-doc at the University of Pisa on the project ERC VAREG "Variational approach to the regularity of the free boundaries" (deadline: 21 May 2021)
• PostDoc Position in Geometric Analysis (deadline: 1 Jun 2021)
• Women in STEM Dissertation Award – IV Edizione (deadline: 4 Jun 2021)
• 1 Posizione di Ricercatore TD Tipo B - Mat/05 - Dipartimento di Matematica dell'Univ. degli studi di Milano (deadline: 4 Jun 2021)
• PhD position in inverse problems at Klagenfurt University (deadline: 9 Jun 2021)
• PhD researcher in Mathematics (NOVA University Lisbon, Portugal) (deadline: 9 Jun 2021)
• PhD positions at University of Udine (deadline: 16 Jun 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 Seminars

• 18 May 2021: P. Bonicatto: Decomposition of integral metric currents
• 19 May 2021: E. Lenzmann: Fourier Rearrangement: Symmetry results for PDEs of arbitrary order
• 19 May 2021: J. Buescu: A cornucopia of surprises: the Riemann Hypothesis at 162
• 20 May 2021: M. Smit Vega Garcia: Regularity of almost minimizers with free boundary

Forthcoming Events

• 18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
• 19 - 21 May 2021: ''Workshop on $L^\infty$ and constrained variational problems''. Online
• 21 - 25 Jun 2021: Tenth Summer School in Analysis and Applied Mathematics (CANCELLED) Dipartimento di Matematica - Sapienza, Università di Roma
• 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)
• 5 - 9 Jul 2021: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
• 12 - 16 Jul 2021: National Meeting of the Portuguese Mathematical Society (ONLINE)
• 9 - 20 Aug 2021: 30th Jyväskylä Summer School Jyväskylä, Finland
• 6 - 10 Sep 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
• 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 Carthage
• 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
• 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
• 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

Recently Added Papers

• S. Biagi - A. Pinamonti - E. Vecchi (Preprint)
  Sublinear equations driven by Hormander operators (2021)
• R. Grande (preprint)
  A stochastic representation for the solution of approximated mean curvature flow (2021)
• A. Cesaroni - H. Kröner - M. Novaga (Submitted Paper)
  Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions (2021)
• L. Brasco (Preprint)
  Convex duality for principal frequencies (2021)
• M. Fogagnolo - A. Pinamonti (Preprint)
  New integral estimates in substatic Riemannian manifolds and the Alexandrov Theorem (2021)
• S. Cruz Blázquez - A. Malchiodi - D. Ruiz (Preprint)
  Conformal metrics with prescribed scalar and mean curvature (2021)
• D. M. Ambrose - A. R. Mészáros (Preprint)
  Well-posedness of mean field games master equations involving non-separable local Hamiltonians (2021)
• G. Buttazzo - F. P. Maiale - B. Velichkov (Submitted Paper)
  Shape optimization problems in control form (2021)
• D. Mucci - A. Saracco (Submitted Paper)
  The geodesic total curvature of spherical curves (2021)
• M. Goldman - M. Huesmann (Submitted Paper)
  A fluctuation result for the displacement in the optimal matching problem (2021)
• M. Pegon (preprint)
  Large mass minimizers for isoperimetric problems with integrable nonlocal potentials (2020)
• G. Dal Maso - R. Rossi - G. Savaré - R. Toader (Submitted Paper)
  Visco-energetic solutions for a model of crack growth in brittle materials (2021)
• W. Borrelli - V. De Falco (Accepted Paper: Phys. Rev. D)
  Timescales of the chaos onset in the general relativistic Poynting-Robertson effect (2021)
• W. Borrelli (Submitted Paper)
  On the continuum limit for a model of binary waveguide arrays (2021)
• A. Monteil - P. Pegon (Preprint)
  Mass concentration in rescaled first order integral functionals (2021)

Recently Modified Papers

• K. Bredies - M. Carioni - S. Fanzon - F. Romero (Bulletin of the London Mathematical Society)
  On the extremal points of the ball of the Benamou-Brenier energy (2021)
• F. Corni - V. Magnani (Submitted Paper)
  Area formula for regular submanifolds of low codimension in Heisenberg groups (2020)
• V. Magnani - A. Minne (Accepted Paper: Anal. PDE)
  Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian (2021)
• K. O. Idu - V. Magnani - F. P. Maiale (J. Math. Anal. Appl.)
  Characterizations of $k$-rectifiability in homogenous groups (2021)
• C. Mantegazza - M. Novaga - A. Pluda (Submitted Paper)
  Type-0 singularities in the network flow - Evolution of trees (2021)
• P. Dondl - M. Novaga - S. Wojtowytsch - S. Wolff-Vorbeck (Accepted Paper: Nonlinearity)
  Connected Coulomb Columns: Analysis and Numerics (2020)
• F. Cagnetti - A. Chambolle - L. Scardia (Accepted Paper: Math. Ann.)
  Korn and Poincaré-Korn inequalities for functions with small jump set (2020)
• D. Barilari - M. Kohli (Accepted Paper: Advances in Calculus of Variations)
  On sub-Riemannian geodesic curvature in dimension three (2021)
• I. Lucardesi - D. Zucco (Annali di Matematica Pura ed Applicata (1923 -))
  On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue (2021)
• G. Catino - D. D. Monticelli - F. Punzo (Ann. Mat Pura Appl.)
  The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity (2021)
• D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
  A Triviality Result for Semilinear Parabolic Equations (2022)
• M. Caponi - F. Sapio (Accepted Paper: J. Evol. Equ.)
  An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains (2020)
• G. E. Comi - G. Stefani (Submitted Paper)
  A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I (2019)
• P. Bousquet - L. Brasco - C. Leone - A. Verde (Preprint)
  Gradient estimates for an orthotropic nonlinear diffusion equation (2021)
• D. Mazzoleni - B. Trey - B. Velichkov (Preprint)
  Regularity of the optimal sets for the second Dirichlet eigenvalue (2020)
• G. Franzina (Applicable Analysis)
  Non-local Torsion functions and Embeddings (2018)
• E. Francini - G. Franzina - S. Vessella (SIAM Journ. of Math. Analysis)
  Existence and Regularity of Eddy Currents System with non-smooth conductivity (2020)
• D. Mucci - A. Saracco (Accepted Paper: Annals of Global Analysis and Geometry)
  Weak curvatures of irregular curves in high dimension Euclidean spaces (2021)
• A. Cesaroni - M. Novaga (Submitted Paper)
  Fractional mean curvature flow of Lipschitz graphs (2021)
• A. Mondino - C. Scharrer (Accepted Paper: Advances in Calculus of Variations)
  A strict inequality for the minimisation of the Willmore functional under isoperimetric constraint (2020)
• A. Jevnikar - R. Lopez-Soriano - M. Medina - D. Ruiz (Accepted Paper: Anal. PDE)
  Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures (2021)
• D. King - F. Maggi - S. Stuvard (Comm. Pure Appl. Math.)
  Plateau's problem as a singular limit of capillarity problems (2020)