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)
- 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 call for 9 PhD positions at Sapienza University of Rome (deadline: 18 Jul 2019)
- Postdoc position in Pavia (deadline: 24 Jul 2019)
- PhD Position at the University of Sussex (deadline: 31 Jul 2019)
- ricercatori senior università di Siena (deadline: 1 Aug 2019)
- REWIRE Fellowships at the University of Vienna (deadline: 30 Sep 2019)

- 22 - 26 Jul 2019: Summer School on Multiscale Phenomena in Geometry and Dynamics TU Munich
- 29 Jul - 2 Aug 2019: XI Workshop in Nonlinear Differential Equations RISM - Varese, Italy
- 12 - 16 Aug 2019: Jyväskylä Summer School
- 18 - 30 Aug 2019: "VIII Partial differential equations, optimal design and numerics" Benasque (Spain)
- 1 Sep - 30 Nov 2019: Simons Semester in Geometry and Analysis Warsaw & Bedlewo, Poland
- 2 - 6 Sep 2019: CIME Course "Geometric Measure Theory and Applications: From Geometric Analysis to Free Boundary Problems" Cetraro - CS
- 2 - 5 Sep 2019: Optimal Transport and Optimal Patterns International Centre for Mathematical Sciences, Edinburgh, UK
- 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.
- 9 - 13 Sep 2019: Mean Field Games and Related Topics - 5 Levico Terme
- 16 - 19 Sep 2019: 6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations University of Münster, Germany
- 22 - 28 Sep 2019: International conference on Geometric Analysis dedicated to the 90th anniversary of academician Yu. G. Reshetnyak Novosibirsk, Russia
- 22 - 27 Sep 2019: "Shape optimization, Isoperimetric and Functional Inequalities" Levico Terme (TN)
- 23 - 27 Sep 2019: Hausdorff School “Modeling and Analysis of Evolutionary Problems in Materials Science” Bonn, Germany
- 23 - 27 Sep 2019: Workshop "Recent advances in mass transportation" Moscow, Poncelet Center and Higher School of Economics
- 30 Sep - 4 Oct 2019: Aspect'19: Asymptotic analysis and spectral theory Orsay, France
- 29 Oct - 1 Nov 2019: Mathematics for Mechanics Czech Academy of Sciences, Prague
- 11 - 15 Nov 2019: Modeling of Crystalline Interfaces and Thin Film Structures: A Joint Mathematics-Physics Symposium Erwin Schrödinger International Institute (ESI), Vienna
- 27 - 31 Jan 2020: Winter School: Turbulence in fluids and PDEs EPFL, Lausanne, Switzerland
- 30 - 31 Jan 2020: Nonlinear meeting in Milan Politecnico di Milano

- S. Bianchini - P. Bonicatto (Proceedings)

Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture (2019) - G. Alberti - A. Massaccesi - E. Stepanov (Submitted Paper)

On the geometric structure of currents tangent to smooth distributions (2019) - L. Tamanini (Preprint)

From Harnack inequality to heat kernel estimates on metric measure spaces and applications (2019) - B. Han (Accepted Paper:
*Manuscripta Mathematica*)

The sharp $p$-Poincaré inequality under the measure contraction property (2019) - B. Han - K. T. Sturm (preprint)

Curvature-dimension conditions for diffusions under time change (2019) - M. Goldman (Proceedings:
*Actes du Séminaire Laurent Schwartz*)

A variational approach to regularity theory in optimal transportation (2019) - B. Velichkov (Lecture Notes)

Regularity of the one-phase free boundaries (2019) - G. Di Fratta - A. Fiorenza (Preprint)

BMO-type seminorms from Escher-type tessellations (2019) - V. Kapovitch - A. Mondino (Preprint)

On the topology and the boundary of $N$-dimensional $RCD(K,N)$ spaces (2019) - J. Matias - M. Morandotti - D. R. Owen - E. Zappale (Preprint)

Relaxation of non-local energies for structured deformations with applications to plasticity (2019) - D. Trevisan (Ph.D. Thesis)

Well-posedness of Diffusion Processes in Metric Measure Spaces (2014) - M. Morandotti - F. Solombrino (Preprint)

Mean-field analysis of multi-population dynamics with label switching (2019) - G. Antonelli - E. Bruè - D. Semola (Submitted Paper)

Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces (2019) - U. Bindini - L. De Pascale (preprint)

From wave-functions to single electron densities (2019) - V. Buffa - M. Miranda Jr (Submitted Paper)

Rough traces of $BV$ functions in metric measure spaces (2019)

- C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (
*Matrix Annals*)

Boundary regularity of mass-minimizing integral currents and a question of Almgren (2017) - M. Colombo - C. De Lellis - A. Massaccesi (Accepted Paper)

The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system (2017) - A. Marchese - A. Massaccesi - R. Tione (
*SIAM J. Math. Anal*)

A multi-material transport problem and its convex relaxation via rectifiable G-currents (2019) - N. Gigli - L. Tamanini (Proceedings:
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Second order differentiation formula on $RCD(K,N)$ spaces (2017) - I. Gentil - C. Léonard - L. Ripani - L. Tamanini (
*Stochastic Process. Appl.*)

An entropic interpolation proof of the HWI inequality (2018) - N. Gigli - L. Tamanini (
*Probab. Theory Related Fields*)

Benamou-Brenier and duality formulas for the entropic cost on $RCD^*(K,N)$ spaces (2018) - N. Gigli - L. Tamanini (Accepted Paper:
*J. Eur. Math. Soc. (JEMS)*)

Second order differentiation formula on $RCD^*(K,N)$ spaces (2018) - E. Tasso (Submitted Paper)

On the blow-up of GSBV functions under suitable geometric properties of the jump set (2019) - C. Mantegazza - M. Novaga - A. Pluda (Lecture Notes:
*Springer INdAM Series*)

Lectures on Curvature Flow of Networks (2019) - M. Caponi (Submitted Paper)

Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation (2018) - S. Fanzon - M. Palombaro - M. Ponsiglione (Accepted Paper:
*SIAM Journal on Mathematical Analysis*)

Derivation of Linearised Polycrystals from a 2D system of edge dislocations (2018) - S. Dweik - N. Ghoussoub - A. Z. Palmer (Submitted Paper)

Optimal controlled transports with free end times subject to import/export tariffs (2019) - M. Novaga - A. Pluda (Accepted Paper:
*Advanced Studies in Pure Mathematics*)

Elastic networks, statics and dynamics (2018) - P. W. Dondl - M. Novaga - B. Wirth - S. Wojtowytsch (Accepted Paper:
*SIAM J. Math. Anal.*)

Approximation of the relaxed perimeter functional under a connectedness constraint by phase-fields (2018) - E. Fried - L. Lussardi (
*Rend. Lincei Mat. Appl.*)

Monotonicity formulae for smooth extremizers of integral functionals (2019) - V. Franceschi - F. Montefalcone - R. Monti (Accepted Paper:
*Analysis and Geometry in Metric Spaces*)

CMC spheres in the Heisenberg group (2016)