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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
Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)

Open Positions

rtdB Bologna (deadline: 24 Nov 2020)
Postdoc position at the University of Warwick (deadline: 25 Nov 2020)
One-year PostDoc position in Genoa (deadline: 26 Nov 2020)
Junior Professorship (non TT) for Applied Mathematics (deadline: 29 Nov 2020)
RTDA Torino (deadline: 30 Nov 2020)
Tenured position in Differential Geometry in Bruxelles (deadline: 1 Dec 2020)
Postdoc position at the University of Vienna (deadline: 4 Dec 2020)
RTDB Universita' della Campania MAT/05 (deadline: 6 Dec 2020)
RTDA - MAT05 - Sapienza - Roma (deadline: 10 Dec 2020)
Professore Associato - Analisi Matematica (deadline: 13 Dec 2020)
Postdoctoral Researcher at Okinawa Institute of Science and Technology under Prof. Daniel Spector (deadline: 15 Dec 2020)
RTD-A Analisi Matematica al Politecnico di Torino (deadline: 17 Dec 2020)
ERC Postdoctoral contract in geometric analysis of sub-Riemannian spaces (deadline: 15 Jan 2021)
PhD student positions at Imperial College London (deadline: 15 Jan 2021)
Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2021)

Forthcoming Seminars

25 Nov 2020: D. Lučić: Sobolev calculus on weighted Euclidean spaces
26 Nov 2020: J. F. Babadjian: Concentration versus oscillation effects in brittle damage
26 Nov 2020: M. Caroccia: Contact surface of Cheeger sets

Forthcoming Events

18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
22 - 26 Feb 2021: Winterschool on Analysis and Applied Mathematics Münster
29 Mar - 2 Apr 2021: Research School "Shape Optimization, Spectral Geometry and Calculus of Variations" CIRM, Luminy, France
12 - 16 Apr 2021: Optimization of shape and material properties: advanced mathematical methods and 3D printing CISM, Udine
12 - 16 Apr 2021: Hausdorff School: “Diffusive Systems” Bonn
20 - 21 May 2021: ''Workshop on $L^\infty$ and constrained variational problems''. Salerno, Chiesa di Santa Maria de' Lama
7 - 11 Jun 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
21 - 25 Jun 2021: Tenth Summer School in Analysis and Applied Mathematics 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
5 - 9 Jul 2021: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
1 - 31 Aug 2021: Jyväskylä Summer School Jyväskylä, Finland
20 Sep - 17 Dec 2021: Distributed Solutions to Complex Societal Problems University of Chicago, USA
13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne

Recently Added Papers

A. Bach - M. Cicalese - L. Kreutz - G. Orlando (preprint)
The antiferromagnetic XY model on the triangular lattice: topological singularities (2020)
A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Submitted Paper)
A quantitative dimension free isoperimetric inequality for the Gaussian Fractional Perimeter (2020)
A. De Rosa - R. Tione (preprint)
Regularity for graphs with bounded anisotropic mean curvature (2020)
A. De Rosa - D. A. La Manna (preprint)
A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties (2020)
D. Tewodrose (Proceedings: Actes de Théorie Spectrale et Géométrie de Grenoble)
A survey on spectral embeddings and their applications in data analysis (2020)
G. Carron - D. Tewodrose (Submitted Paper)
A rigidity result for metric measure spaces with Euclidean heat kernel (2019)
D. Tewodrose (Submitted Paper)
Adimensional weighted Sobolev inequalities in PI spaces (2020)
M. Santilli (Submitted Paper)
Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature (2020)
G. Buttazzo - A. Pratelli (Preprint)
An application of the continuous Steiner symmetrization to Blaschke-Santalò diagrams (2020)
E. Bruè (Ph.D. Thesis)
Structure of non-smooth spaces with Ricci curvature bounded below (2020)
E. Bruè - A. Naber - D. Semola (Preprint)
Boundary regularity and stability for spaces with Ricci bounded below (2020)
F. Farroni - L. Greco - G. Moscariello - G. Zecca (preprint)
Nonlinear evolution problems with singular coefficients in the lower order terms (2020)
E. Hakavuori - V. Kivioja - T. Moisala - F. Tripaldi (preprint)
Gradings for nilpotent Lie algebras (2020)
L. Mari - Leandro Freitas Pessoa (preprint)
Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an overview (2018)
L. Mari - M. Rigoli - Alberto Giulio Setti (preprint)
On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds (2019)
A. Henrot - I. Lucardesi (Preprint)
A Blaschke-Lebesgue theorem for the Cheeger constant (2020)
M. Colombo - R. Tione (Preprint)
On the commutativity of flows of rough vector fields (2020)
C. Rigoni - E. Stepanov - D. Trevisan (Preprint)
Lie brackets of nonsmooth vector fields and commutation of their flows (2020)
S. Wang - Y. Wang (Journal of Differential Equations)
Integrability of scalar curvature and normal metric on conformally flat manifolds (2017)
S. Wang (Journal für die reine und angewandte Mathematik)
Round spheres are Hausdorff stable under small perturbation of entropy (2017)
J. Bernstein - S. Wang (Accepted Paper: Communications in Analysis and Geometry)
The level set flow of a hypersurface in $\mathbb R^4$ of low entropy does not disconnect (2018)
A. Mramor - S. Wang (International Mathematics Research Notices)
On the topological rigidity of self shrinkers in $\mathbb{R}^3$ (2017)
B. Allen - L. Hernandez-Vazquez - D. Parise - A. Payne - S. Wang (Geometriae Dedicata)
Warped Tori with Almost Non-Negative Scalar Curvature (2018)
A. Mramor - S. Wang (preprint)
Low Entropy and the Mean Curvature Flow with Surgery (2018)
Z. Gang - S. Wang (preprint)
Precise asymptotics near a pinched disk singularity formed by mean curvature flow (2019)
H. T. Nguyen - S. Wang (preprint)
Brakke Regularity for the Allen-Cahn Flow (2020)
H. T. Nguyen - S. Wang (preprint)
Second order estimates for transition layers and a curvature estimate for the parabolic Allen-Cahn (2020)

Recently Modified Papers

D. Bourne - P. J. J. Kok - S. M. Roper - W. D. T. Spanjer (Philosophical Magazine)
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes (2020)
S. Cito - D. A. La Manna (Accepted Paper: ESAIM: Control, Optimisation and Calculus of Variations)
A Quantitative Reverse Faber-Krahn Inequality for the First Robin Eigenvalue with Negative Boundary Parameter (2020)
L. Brasco - B. Volzone (Preprint)
Long-time behavior for the porous medium equation with small initial energy (2020)
L. Ambrosio - M. Fornasier - M. Morandotti - G. Savaré (Accepted Paper: CPAM)
Spatially Inhomogeneous Evolutionary Games (2018)
D. Tewodrose (Accepted Paper: ESAIM: COCV)
Weighted Sobolev inequalities in CD(0,N) spaces (2018)
A. Minne - D. Tewodrose (Journal of Mathematical Analysis and Applications)
Asymptotic Mean Value Laplacian in Metric Measure Spaces (2020)
L. Ambrosio - S. Honda - D. Tewodrose (Annals of Global Analysis and Geometry)
Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces (2018)
A. Massaccesi - D. Vittone (J. Eur. Math. Soc. (JEMS))
An elementary proof of the rank-one theorem for BV functions (2019)
E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (Comm. Anal. and Geom.)
Extremal polynomials in stratified groups (2018)
A. Ottazzi - D. Vittone (ESAIM Control Optim. Calc. Var.)
On the codimension of the abnormal set in step two Carnot groups (2019)
S. Don - A. Massaccesi - D. Vittone (J. Funct. Anal.)
Rank-one theorem and subgraphs of BV functions in Carnot groups (2019)
S. Don - D. Vittone (J. Math. Anal. Appl.)
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces (2019)
S. Don - D. Vittone (Ann. Acad. Sci. Fenn. Math.)
A compactness result for BV functions in metric spaces (2019)
S. Don - E. Le Donne - T. Moisala - D. Vittone (Accepted Paper: Indiana Univ. Math. J.)
A rectifiability result for finite-perimeter sets in Carnot groups (2019)
F. Boarotto - D. Vittone (J. Differential Equations)
A dynamical approach to the Sard problem in Carnot groups (2020)
E. Bruè - S. Di Marino - F. Stra (Accepted Paper: Journal of Functional Analysis)
Linear Lipschitz and $C^1$ extension operators through random projections (2018)
E. Bruè - Q. H. Nguyen (Accepted Paper: Analysis and PDE)
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields (2018)
E. Davoli - I. Fonseca - P. Liu (Submitted Paper)
Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme (2020)
A. Chambolle - L. Lussardi - E. Villa (Accepted Paper: Math. Z.)
Anisotropic tubular neighborhoods of sets (2020)
V. Crismale - M. Friedrich - F. Solombrino (Advances in Calculus of Variations)
Integral representation for energies in linear elasticity with surface discontinuities (2020)
G. Saracco (Accepted Paper: J. Convex Anal.)
A sufficient criterion to determine planar self-Cheeger sets (2021)
M. Bardi - A. Goffi (Accepted Paper: Mathematische Annalen)
Liouville results for fully nonlinear equations modeled on H\"ormander vector fields. I. The Heisenberg group (2020)
E. Bruè - M. Calzi - G. E. Comi - G. Stefani (Preprint)
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II (2020)

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