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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

News

Open Positions

Università di Parma, Ricercatore a tempo determinato (TIPO B) in Analisi Matematica (deadline: 27 Sep 2018)
Open position as full Professor in Analysis at Bielefeld University (deadline: 30 Sep 2018)
Universita' di Trieste, Ricercatore di tipo B in Analisi Matematica (deadline: 8 Oct 2018)
Research contract as part of the research project "Calculus of Variations, Partial Differential Equations, Geometric Measure Theory, Optimal Transportation" (deadline: 18 Oct 2018)
Open Positions at Warwick: 3 Professorships, 2 Readerships, 2 Associate Professorships, 3 Assistant Professorships and 2 Warwick Zeeman Lectureships. (deadline: 21 Oct 2018)
Two postdoctoral positions at Charles University, Prague (deadline: 16 Nov 2018)

Forthcoming Seminars

26 Sep 2018: C. Muratov: Analysis of Novel Domain Wall Types in Ferromagnetic Nanostructures

Forthcoming Events

19 - 21 Sep 2018: Optimal Control and Mean Field Games Pavia
24 - 28 Sep 2018: Workshop MAR: Metric Analysis and Regularity Università di Catania
26 - 28 Sep 2018: Mathematics of Thin Structures Dresden, Germany
10 - 12 Oct 2018: Topics in Nonlinear Analysis: Calculus of Variations and PDEs Faculdade de Ciências - Universidade de Lisboa
11 - 12 Oct 2018: "New Trends in the Regularity Theory of Partial Differential Equations" Math. Dept. of University " Federico II",
12 - 12 Oct 2018: "Calcolo delle Variazioni ed Equazioni alle Derivate Parziali" Dip. di Matematica e Fisica "Ennio De Giorgi", Univ. del Salento
14 - 20 Oct 2018: Optimal Transport Theory and Hydrodynamics (from Euler to Monge and vice-versa) Oberwolfach
16 - 17 Oct 2018: Sub-Riemannian days 2018
29 Oct - 2 Nov 2018: Conference on "PDEs and Geometric Measure Theory"
29 - 31 Oct 2018: Workshop “New developments in PDEs and related topics” Dip. di Matematica e Applicazioni “R. Caccioppoli”-Univ. di Napoli “Federico II”
5 - 6 Nov 2018: Women in Mathematical Material Science University of Regensburg
8 - 9 Nov 2018: Workshop on dynamical systems, calculus of variations and control DiMaI Università di Firenze
12 - 16 Nov 2018: Optimal Transport and Applications Centro De Giorgi, Pisa
14 - 17 Jan 2019: Alessio Figalli, Fields medallist 2018 Aula Dini, Scuola Normale Superiore
22 - 25 Jan 2019: Geometry and PDE in front of the Alhambra University of Granada
31 Jan - 1 Feb 2019: Nonlinear Meeting in Turin
22 - 24 Mar 2019: New Trends in Geometric Measure Theory University of Hawaii Manoa

Recently Added Papers

M. Bonacini - E. Davoli - M. Morandotti (Submitted Paper)
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films (2018)
K. Bredies - M. Carioni (Preprint)
Sparsity of solutions for variational inverse problems with finite-dimensional data (2018)
C. De Lellis - D. Inauen (Preprint)
$C^{1,\alpha} isometric embeddings of polar caps (2018)
E. Tasso (Submitted Paper)
On the continuity of the trace operator in $GSBV(\Omega)$ and $GSBD(\Omega)$ (2018)
M. Colombo - L. Spolaor - B. Velichkov (Submitted Paper)
On the asymptotic behavior of the solutions to parabolic variational inequalities (2018)
P. Bousquet - L. Brasco (Preprint)
Lipschitz regularity for orthotropic functionals with nonstandard growth conditions (2018)
W. Borrelli (Submitted Paper)
Sharp decay estimates for critical Dirac equations (2018)
D. Lučić - E. Pasqualetto (Preprint)
Infinitesimal Hilbertianity of weighted Riemannian manifolds (2018)
G. David - E. Le Donne (Submitted Paper)
A note on topological dimension, Hausdorff measure, and rectifiability (2018)
J. Á. Jaramillo - E. Le Donne - T. Rajala (Accepted Paper: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas)
Restricting open surjections (2018)
S. Nicolussi Golo - F. Serra Cassano (preprint)
The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group (2018)
I. Markina - S. Wojtowytsch (preprint)
On the Alexandrov Topology of sub-Lorentzian Manifolds (2013)
P. Dondl - S. Wojtowytsch (preprint)
On the Boundary Regularity of Phase-Fields for Willmore's Energy (2017)
P. W. Dondl - Matthias W. Kurzke - S. Wojtowytsch (preprint)
The Effect of Forest Dislocations on the Evolution of a Phase-Field Model for Plastic Slip (2017)
P. Dondl - S. Wojtowytsch (preprint)
Keeping it together: a phase field version of path-connectedness and its implementation (2018)
C. N. Chen - Y. S. Choi - N. Fusco (Submitted Paper)
The Γ-limit of traveling waves in FitzHugh-Nagumo systems (2018)
G. Gravina - G. Leoni (preprint)
On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem (2018)
E. Durand-Cartagena - S. Eriksson-Bique - R. Korte - N. Shanmugalingam (Preprint)
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a $1$-Poincaré inequality (2018)
C. Geldhauser - C. Kuehn (Preprint)
Travelling waves in the discrete stochastic Nagumo equation (2018)
A. Figalli - J. Serra (Accepted Paper: Invent. Math.)
On the fine structure of the free boundary for the classical obstacle problem (2018)
P. van Meurs - A. Muntean - M. A. Peletier (preprint)
Upscaling of dislocation walls in finite domains (2013)
A. Garroni - P. van Meurs - M. Peletier - L. Scardia (preprint)
Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock (2015)
P. van Meurs - A. Muntean (preprint)
Upscaling of the dynamics of dislocation walls (2014)
C. Hall - T. Hudson - P. van Meurs (preprint)
Asymptotic analysis of boundary layers in a repulsive particle system (2016)
M. Kimura - P. van Meurs (preprint)
Precise characterisation of the minimiser of interaction energies (2017)
P. van Meurs (preprint)
Many-particle limits and non-convergence of dislocation wall pile-ups (2017)
P. van Meurs - A. Muntean - M. A. Peletier (preprint)
Upscaling of dislocation walls in finite domains (2013)

Recently Modified Papers

S. Don - D. Vittone (preprint)
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces (2018)
A. C. G. Mennucci (Accepted Paper: ESAIM: COCV)
Designing metrics; the delta metric for curves (2018)
A. Lorent - G. Peng (Preprint)
Null Lagrangian Measures in subspaces, compensated compactness and conservation laws (2018)
S. Conti - M. Focardi - F. Iurlano (Accepted Paper: AIHP)
Existence of strong minimizers for the Griffith static fracture model in dimension two (2016)
S. Conti - M. Focardi - F. Iurlano (Accepted Paper: ESAIM COCV)
Approximation of fracture energies with $p$-growth via piecewise affine finite elements (2017)
M. Focardi - F. Geraci - E. Spadaro (Accepted Paper: JOTA)
Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications (2018)
M. Focardi - E. Spadaro (Accepted Paper: ARMA)
On the measure and the structure of the free boundary of the lower dimensional obstacle problem (2017)
G. Alberti - G. Crippa - A. L. Mazzucato (Accepted Paper: Journal of the American Mathematical Society)
Exponential self-similar mixing by incompressible flows (2018)
L. Brasco (Submitted Paper)
On principal frequencies and inradius in convex sets (2018)
E. Bruè - D. Semola (Accepted Paper: Comm. Pure and Applied Math.)
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows (2018)
P. Dondl - S. Wojtowytsch (Submitted Paper)
Uniform Regularity and Convergence of Phase-Fields for Willmore's Energy (2015)
P. W. Dondl - A. Lemenant - S. Wojtowytsch (Accepted Paper: Arch Rational Mech Anal)
Phase field models for thin elastic structures with topological constraint (2016)
S. Wojtowytsch (Preprint)
Helfrich's Energy and Constrained Minimisation (2016)
M. Goldman - M. Novaga - M. Röger (Accepted Paper: Proc. Roy. Soc. Edinburgh Sect. A)
Quantitative estimates for bending energies and applications to non-local variational problems (2018)
F. Maggi - A. Scardicchio - S. Stuvard (Submitted Paper)
Soap films with gravity and almost-minimal surfaces (2018)
A. Braides - A. Causin - A. Piatnitski - M. Solci (J. Stat. Phys.)
Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime (2018)
A. Figalli (Proceedings: Proceedings ICM 2018)
Regularity of interfaces in phase transitions via obstacle problems (2018)
A. De Rosa - S. Gioffrè (J. Geom. Anal.)
Quantitative stability for anisotropic nearly umbilical hypersurfaces (2017)
G. E. Comi - V. Magnani (Preprint)
The Gauss--Green theorem in stratified groups (2018)
G. Q. Chen - G. E. Comi - M. Torres (Preprint)
Cauchy Fluxes and Gauss-Green Formulas for Divergence-Measure Fields over General Open Sets (2018)
D. Spector (preprint)
An Optimal Sobolev Embedding for $L^1$ (2018)

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