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.

- 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)
- Vectorial Elliptic, Parabolic and Variational Problems: Singularities and Regularity (Giuseppe Mingione)
- Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
- Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)

- Research assistant position at Trento University (deadline: 16 Jun 2016)
- PhD studentship on Numerical methods for higher-order nonlinear partial differential equations (deadline: 1 Sep 2016)

- 1 Jun 2016:
**J. B. Casteras:***Standing wave solutions for a nonlinear Schrödinger equation with mixed dispersion* - 8 Jun 2016:
**S. Costea:***Sobolev-Lorentz spaces in the Euclidean setting and counterexamples*

- 13 Oct 2015 - 4 Jun 2016: 19th Internet Seminar: Infinite Dimensional Analysis Final Worshop in Casalmaggiore, Cremona (Italy), May 30th to June 4th 2016
- 30 May - 3 Jun 2016: HJ2016: Hamilton-Jacobi Equations: new trends and applications Rennes (France)
- 6 - 10 Jun 2016: Advances in the Mathematical Analysis of Material Defects in Elastic Solids SISSA, Trieste, Italy
- 9 - 10 Jun 2016: Two-day Meeting on linear and nonlinear PDE's in honor of the 65th birthday of Cristian Gutierrez Bologna (Italy)
- 20 - 24 Jun 2016: Optimal Control for Evolutionary PDEs and Related Topics - OCERTO Cortona, Italy
- 20 - 23 Jun 2016: Singular Phenomena and Singular Geometries Department of Mathematics, University of Pisa
- 20 - 24 Jun 2016: Pde's at the Grand Paradis Cogne
- 27 Jun - 1 Jul 2016: 2016 EWM-EMS Summer School Institut Mittag-Leffler
- 27 Jun - 1 Jul 2016: Mini-courses in Mathematical Analysis 2016 Padova
- 27 - 29 Jun 2016: Workshop on "Advances in Nonlinear Problems from Materials Science and Shape Optimization" Dipartimento di Matematica, Università di Pisa
- 27 Jun - 15 Jul 2016: Thematic period on "Calculus of Variations, Optimal Transportation, and Geometric Measure Theory: from Theory to Applications" Lyon-Villeurbanne, France
- 11 - 15 Jul 2016: School in Geometric Analysis: "Geometric Analysis on Riemannian and singular metric measure spaces" Como, Italy
- 11 - 15 Jul 2016: THE TOTAL VARIATION FLOW AND RELATED NONLINEAR EVOLUTION PROBLEMS UNIVERSITY OF SALZBURG, Austria - Österreich
- 18 - 22 Jul 2016: GSSI Summer School on Fluid Dynamics and Related Topics GSSI, L'Aquila, Italy
- 25 - 29 Jul 2016: 14th International Conference on Integral Methods in Science and Engineering (IMSE 2016) Padova, Dipartimento di Matematica
- 26 - 27 Jul 2016: Meeting on Analysis and Numerics In Curvature Energies Freiburg, Germany
- 5 - 9 Sep 2016: INdAM Workshop on Trends on Applications of Mathematics to Mechanics INdAM Roma
- 8 - 10 Sep 2016: Fourth Workshop on Thin Structures Eremo SS. Salvatore, Naples
- 13 - 16 Sep 2016: Meeting in Applied Mathematics and Calculus of Variations Sapienza Università di Roma, Dipartimento di Matematica
- 15 - 16 Sep 2016: Recent trends in the analysis of spectral problems and applications Torino, Politecnico, DISMA - Dipartimento di Scienze Matematiche
- 19 - 23 Sep 2016: A Mathematical Tribute to Ennio De Giorgi PISA: PALAZZO DEI CONGRESSI, VIA GIACOMO MATTEOTTI 1
- 19 - 21 Sep 2016: Geometric properties of solutions to elliptic and parabolic problems Santa Margherita di Pula, Cagliari
- 4 - 7 Oct 2016: Lecce Conference in Calculus of Variations and Partial Differential Equation - CDV2016 Lecce (Italy)
- 7 - 11 Nov 2016: Optimal Transportation and Applications Scuola Normale Superiore
- 21 - 25 Nov 2016: Shape Optimization and Isoperimetric and Functional Inequalities CIRM-Luminy (France)

- A. Jevnikar - W. Yang (Submitted Paper)

A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects (2016) - E. Harrell - A. Henrot - J. Lamboley (
*Journal of convex Analysis*)

On the local minimizers of the Mahler volume (2015) - J. Lamboley - A. Novruzi - M. Pierre (
*Archive for Rational Mechanics and Analysis*)

Regularity and singularities of optimal convex shapes in the plane (2012) - H. Hanke - D. Knees (Submitted Paper)

A phase-field damage model based on evolving microstructure (2016) - D. Bucur - I. Fragalà - J. Lamboley (
*ESAIM Control Optim. Calc. Var.*)

Optimal convex shapes for concave functionals (2012) - J. Lamboley (
*Applicable Analysis*)

About Hölder regularity of the convex shape minimizing $\lambda_2$ (2011) - J. Lamboley - A. Novruzi (
*SIAM Control and Optimization*)

Polygon as optimal shapes with convexity constraint (2009) - I. Fonseca - G. Leoni - M. G. Mora (Submitted Paper)

A Second Order Minimality Condition for Water-Waves Functionals (2016) - I. Fonseca - N. Fusco - G. Leoni - M. Morini (Submitted Paper)

A model for dislocations in epitaxially strained elastic films (2016) - G. Mercier - M. Novaga - P. Pozzi (Submitted Paper)

Anisotropic curvature flow of immersed curves (2016) - L. Lussardi - E. Mascolo (Submitted Paper)

A uniqueness result for a class of non strictly convex variational problems (2016) - R. Rossi - M. Thomas (Submitted Paper)

From Adhesive to Brittle Delamination in Visco-Elastodynamics (2016) - I. Fragalà - F. Gazzola - J. Lamboley - M. Pierre (
*Analysis (Munich)*)

Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems (2009) - T. Briançon - J. Lamboley (
*Annales de l'IHP, Analyse non linéaire*)

Regularity of the optimal shapes for the first eigenvalue with volume and inclusion constraints (2009) - J. Lamboley - M. Pierre (Accepted Paper:
*Journal of Convex Analysis*)

Structure of shape derivatives around irregular domains and applications (2007) - G. De Philippis - J. Lamboley - M. Pierre - B. Velichkov (Submitted Paper)

Regularity of minimizers of shape optimization problems involving perimeter (2016) - X. Mingqi - P. Pucci - M. Squassina - B. Zhang (Preprint)

Nonlocal Schrodinger-Kirchhoff equations with external magnetic field (2016) - M. Colombo - F. Maggi

Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters (2016) - F. Geraci (Submitted Paper)

The Classical Obstacle problem with coefficients in fractional Sobolev spaces (2016)

- A. Cesaroni - N. Dirr - C. Marchi (Submitted Paper)

Homogenization of a mean field game system in the small noise limit (2016) - L. Brasco - B. Ruffini (Accepted Paper:
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Compact Sobolev embeddings and torsion functions (2015) - D. Barilari - U. Boscain - G. Charlot - R. W. Neel (Accepted Paper:
*Int. Math. Res. Not.*)

On the heat diffusion for generic Riemannian and sub-Riemannian structures (2016) - A. Marchese (Preprint)

Lusin type theorems for Radon measures (2015) - A. Braides - M. Solci (Accepted Paper:
*Mathematics and Mechanics of Solids*)

Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case (2014) - A. Braides - M. Colombo - M. Gobbino - M. Solci (
*CRAS Paris - Mathematique*)

Minimizing movements along a sequence of functionals and curves of maximal slope (2016) - C. Scheven - T. Schmidt (
*J. Differ. Equations*)

BV supersolutions to equations of 1-Laplace and minimal surface type (2016) - M. Bardi - J. P. Maldonado Lopez (
*Dyn. Games Appl.*)

A Dijkstra-type algorithm for dynamic games (2015) - L. Rizzi (Accepted Paper:
*Calculus of Variations and PDEs*)

Measure contraction properties of Carnot groups (2016) - J. Korvenpaa - T. Kuusi - G. Palatucci (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Hölder continuity up to the boundary for a class of fractional obstacle problems (2016) - S. Di Marino - A. R. Mészáros (Accepted Paper:
*Math. Models Methods Appl. Sci.*)

Uniqueness issues for evolution equations with density constraints (2016) - H. Knüpfer - C. Muratov - M. Novaga (Accepted Paper:
*Comm. Math. Phys.*)

Low density phases in a uniformly charged liquid (2015) - P. Athavale - R. L. Jerrard - M. Novaga - G. Orlandi (Accepted Paper:
*Journal of Convex Analysis*)

Weighted TV minimization and applications to vortex density models (2015) - N. Ansini - F. Prinari (
*ESAIM Control Optim. Calc. Var.*)

On the lower semicontinuity of supremal functional under differential constraints (2015) - C. Muratov - M. Novaga (
*SIAM J. on Math. Anal.*)

Global exponential convergence to variational traveling waves in cylinders (2012) - A. Chambolle - M. Goldman - M. Novaga (
*in Geometric Partial Differential Equations, Edizioni della Normale, CRM Series*)

Existence and qualitative properties of isoperimetric sets in periodic media (2013) - G. Bellettini - C. Geldhauser - M. Novaga (
*Advances Differential Equations*)

Convergence of a semidiscrete scheme for a forward-backward parabolic equation (2013)