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.

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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

Open Positions

• Concorso Ricercatore tipo b, settore concorsuale 01/A3, Università degli Studi di Napoli "Federico II" (deadline: 25 Feb 2019)
• 6 Phd positions in Mathematics at the Scuola Normale Superiore (deadline: 28 Feb 2019)
• Associate Professor or Full Professor in Analysis and Modelling at TUM (deadline: 3 Mar 2019)
• PhD position (deadline: 13 Mar 2019)
• Optimal control and long-term dynamics for mathematical models of tumor growth and 3D printing (deadline: 20 Mar 2019)
• 21 PhD fellowships in Paris 2019/20 - Fondation Science Mathémathiques Paris (deadline: 1 Apr 2019)

Forthcoming Seminars

• 27 Feb 2019: M. Ponsiglione: Existence and uniqueness for crystalline mean curvature flows with general mobilities
• 6 Mar 2019: E. Cinti: Some recent results in the study of fractional mean curvature flow
• 13 Mar 2019: P. Pozzi: On the flow of elastic networks

Forthcoming Events

• 18 - 22 Feb 2019: Sub-Riemannian Geometry and Beyond. II Jyväskylä
• 25 Feb - 1 Mar 2019: Differential Operators on Graphs and Waveguides Graz, Austria
• 13 - 14 Mar 2019: Variational Approaches in PDE's University of Rome Tor Vergata
• 13 - 14 Mar 2019: Variational approaches to PDEs Dipartimento di Matematica - Università di Roma "Tor Vergata"
• 19 - 20 Mar 2019: Workshop on Calculus of Variations University of Sussex, Brighton
• 22 - 24 Mar 2019: New Trends in Geometric Measure Theory University of Hawaii Manoa
• 25 - 29 Mar 2019: Analysis of nonlocal and nonsmooth models Bielefeld University
• 28 - 31 Mar 2019: VII Spring School of Analysis (in memory of Aleksander Pełczyński): Differentiation and Geometry Będlewo (Poland)
• 30 - 31 Mar 2019: Ohio River Analysis Meeting 2019 University of Cincinnati, Cincinnati, OH, USA
• 1 - 5 Apr 2019: Optimal Transport and Geometric Analysis Venice
• 3 - 4 Apr 2019: The 2nd ITS-CUNY Symposium on Nonlinear Problems in Geometry The City University of New York
• 8 - 9 Apr 2019: Analysis and Applications. Contributions from young researchers Dipartimento di Scienze Matematiche, Politecnico di Torino
• 16 - 17 Apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory Centro di Ricerca Matematica E. De Giorgi, Pisa
• 6 May - 12 Jul 2019: Indam Intensive Period: Shape optimization, control and inverse problems for PDEs Naples
• 27 - 30 May 2019: Analytic and Geometric Aspects of PDEs Dipartimento di Matematica - Politecnico di Milano
• 3 - 7 Jun 2019: Crowds: models and control CIRM, Marseille
• 10 - 14 Jun 2019: CIME course on Mean Field Games Cetraro
• 19 - 22 Jun 2019: Nonlinear Averaging and PDEs Levico Terme
• 24 - 26 Jun 2019: Small Scales and Homogenisation (SmaSH) Cardiff University (UK)
• 1 - 5 Jul 2019: European Mathematical Society Summer School "Partial differential equations from theory to applications" Department of Mathematics, Università degli Studi di Milano
• 1 - 5 Jul 2019: Calculus of Variations on Schiermonnikoog 2019
• 22 - 26 Jul 2019: Summer School on Multiscale Phenomena in Geometry and Dynamics TU Munich
• 12 - 16 Aug 2019: Jyväskylä Summer School
• 2 - 6 Sep 2019: CIME Course "Geometric Measure Theory and Applications: From Geometric Analysis to Free Boundary Problems" Cetraro - CS
• 9 - 13 Sep 2019: Geometric Analysis, Submanifolds, and Geometry of PDE's Politecnico di Torino, Torino, Italy
• 9 - 11 Sep 2019: Workshop on Spectral Geometry and Analysis of Differential Operators Department of Mathematics "Tullio Levi-Civita", University of Padova, Italy.
• 22 - 28 Sep 2019: International conference on Geometric Analysis dedicated to the 90th anniversary of academician Yu. G. Reshetnyak Novosibirsk, Russia

Recently Added Papers

• S. Kholmatov - P. Piovano (Submitted Paper)
  A unified model for stress-driven rearrangement instabilities (2019)
• C. Bucur - M. Squassina (Preprint)
  Approximate convexity principles and applications to PDEs in convex domains (2019)
• G. Crasta - V. De Cicco - A. Malusa (Preprint)
  Pairings between bounded divergence-measure vector fields and BV functions (2019)
• N. Ansini - S. Fagioli (Submitted Paper)
  Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation (2019)
• R. Adami - U. Boscain - V. Franceschi - D. Prandi (Submitted Paper)
  Point interactions for 3D sub-Laplacians (2019)
• A. Baldi - B. Franchi - P. Pansu (Submitted Paper)
  {$L^1$-{P}oincar\'e inequalities for differential forms on {E}uclidean spaces and {H}eisenberg groups} (2019)
• U. Bindini (preprint)
  Smoothing operators in multi-marginal Optimal Transport (2019)
• M. Bardi - A. Goffi (Submitted Paper)
  New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs (2019)
• E. Davoli - H. Ranetbauer - L. Scarpa - L. Trussardi (Submitted Paper)
  Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics (2019)
• Q. H. Nguyen - C. P. Nguyen (Submitted Paper)
  Pointwise gradient estimates for a class of singular quasilinear equation with measure data (2019)
• E. Pasqualetto (Preprint)
  Direct and inverse limits of normed modules (2019)
• N. De Ponti - A. Mondino (Preprint)
  Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces (2019)
• R. Rios-Zertuche (preprint)
  Existence of differentiable curves in convex sets and the concept of direction of the flow in mass transportation (2018)
• R. Rios-Zertuche (preprint)
  Characterization of minimizable Lagrangian action functionals and a dual Mather theorem (2018)
• R. Rios-Zertuche (preprint)
  Weak KAM theory in higher-dimensional holonomic measure flows (2019)
• R. Rios-Zertuche (preprint)
  Deformations of closed measures and variational characterization of measures invariant under the Euler-Lagrange flow (2018)
• N. Gigli (Preprint)
  Riemann curvature tensor on RCD spaces and possible applications (2019)
• F. Cagnetti (Accepted Paper: Portugaliae Mathematica)
  Rigidity for Perimeter Inequalities under symmetrization: state of the art and open problems (2019)
• E. Davoli - I. Fonseca - P. Liu (Submitted Paper)
  Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme (2019)

Recently Modified Papers

• G. E. Comi - G. Stefani (Preprint)
  A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up (2018)
• D. Pallara - L. Angiuli - S. Ferrari (Accepted Paper: J. Evol. Equ.)
  GRADIENT ESTIMATES FOR PERTURBED ORNSTEIN-UHLENBECK SEMIGROUPS ON INFINITE DIMENSIONAL CONVEX DOMAINS (2019)
• F. Riva - L. Nardini (Submitted Paper)
  Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping (2018)
• M. Novaga - A. Pluda (Submitted Paper)
  Elastic networks, statics and dynamics (2018)
• I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (Riv. Mat. Univ. Parma)
  Confinement of dislocations inside a crystal with a prescribed external strain (2018)
• C. De Lellis - D. Inauen (Preprint)
  $C^{1,\alpha} isometric embeddings of polar caps (2018)
• A. De Rosa (SIAM J. Math. Anal.)
  Minimization of anisotropic energies in classes of rectifiable varifolds (2016)
• G. De Philippis - A. De Rosa - F. Ghiraldin (J. Geom. Anal.)
  Existence results for minimizers of parametric elliptic functionals (2017)
• G. E. Comi - K. R. Payne (Adv. Calc. Var.)
  On locally essentially bounded divergence measure fields and sets of locally finite perimeter (2017)
• A. Cesaroni - M. Novaga (Submitted Paper)
  Symmetric self-shrinkers for the fractional mean curvature flow (2018)
• R. Rossi (Accepted Paper: Mathematical Models and Methods in the Applied Sciences)
  Visco-Energetic solutions to some rate-independent systems in damage, delamination, and plasticity (2019)
• M. Lewicka - D. Lučić (Accepted Paper: Communications on Pure and Applied Mathematics)
  Dimension reduction for thin films with transversally varying prestrain: the oscillatory and the non-oscillatory case (2019)
• G. De Philippis - A. De Rosa - J. Hirsch (Discrete Contin. Dyn. Syst.)
  The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals (2019)
• M. Bardi - A. Cesaroni - E. Topp (Submitted Paper)
  Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms (2019)
• B. Han (Preprint)
  Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds (2019)
• E. Paolini (Matematica, Cultura e Società – Rivista dell’Unione Matematica Italiana)
  Dehn e Banach-Tarski: opposti paradossi (2017)
• G. Lazzaroni - L. Nardini (Accepted Paper: ESAIM: COCV)
  On the 1d wave equation in time-dependent domains and the problem of debond initiation (2019)