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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

RTD-A Università di Napoli Federico II, Progetti PON 2014-20 AZIONE IV.6 GREEN (deadline: 20 Oct 2021)
RTDA Università di Milano, Milan (Italy) (deadline: 22 Oct 2021)
Postdoc position @ Universität Bielefeld (deadline: 28 Oct 2021)
3 years Postdoc position at TU Wien (Vienna) (deadline: 29 Oct 2021)
Several PhD positions at the University of Münster (deadline: 1 Nov 2021)
Postdoctoral research positions at the University of Münster (deadline: 1 Nov 2021)
Two Postdoc positions at the University of Vienna (deadline: 1 Nov 2021)
rtdB position in Mathematical Analysis, Probability and Statistics, Univ. Siena (Italy) (deadline: 2 Nov 2021)
2 PhD positions and 5 post-doc positions in the SFB 65 "Taming Complexity in Partial Differential Systems" in Vienna (deadline: 15 Nov 2021)
Assistant Professor at Bocconi University (deadline: 22 Nov 2021)
PhD and Two Postdoctoral Positions at EPFL Lausanne (deadline: 30 Nov 2021)
Postdoctoral Positions at the Scuola Superiore Meridionale - Napoli (deadline: 1 Dec 2021)
Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China (deadline: 11 Feb 2022)
Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2022)
Research project on Optimal Transportation (deadline: 31 Dec 2022)

Forthcoming Seminars

18 Oct 2021: C. Trombetti: Alcuni risultati di confronto per soluzioni di problemi ellittici con dati al bordo di tipo misto

Forthcoming Events

20 Sep - 17 Dec 2021: Distributed Solutions to Complex Societal Problems University of Chicago, USA
17 - 23 Oct 2021: Rajchman, Zygmund, Marcinkiewicz Bedlewo, Poland
25 - 28 Oct 2021: Virtual PhD School "Kinetic & Mean Field Problems: Theory, Numerics and Applications" Ferrara, Italy
1 - 5 Nov 2021: New Trends in Geometric PDEs Münster, Germany
3 - 4 Nov 2021: Nonlinear Pde's in Salerno University of Salerno
8 Nov - 2 Dec 2021: An introduction to Liouville Equations with Applications Univ. Rome Tor Vergata, blended mode
8 - 9 Nov 2021: Ricordando Luciano Modica Dipartimento di Matematca, Pisa
29 Nov - 3 Dec 2021: Winter school: "Analytical Methods in Quantum and Continuum Mechanics" Torino, Italy.
21 - 25 Feb 2022: Free Boundary Problems and Related Evolution Equations Erwin Schrödinger Institute (ESI), Vienna, Austria
6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
16 - 22 May 2022: Calculus of Variations-Back to Carthage Carthage
16 - 20 May 2022: Beyond Elasticity: Advances and Research Challenges Luminy, France
13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
13 - 18 Jun 2022: 20 years of Summer Schools on CalcVar in Rome Department of Mathematics, Sapienza, Rome
27 - 29 Jun 2022: Young Women in Geometric Analysis Bonn
18 - 22 Jul 2022: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
12 - 16 Sep 2022: Summerschool on Analysis and Applied Mathematics Münster
19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

Recently Added Papers

K. Bredies - M. Carioni - S. Fanzon - D. Walter (preprint)
Linear convergence of accelerated generalized conditional gradient methods (2021)
V. Felli - B. Noris - R. Ognibene (Preprint)
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region (2021)
D. Danielli - R. Ognibene (Preprint)
On a weighted two-phase boundary obstacle problem (2021)
V. Felli - B. Noris - R. Ognibene (Calculus of Variations and Partial Differential Equations)
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region (2021)
V. Felli - R. Ognibene (Journal of Differential Equations)
Sharp convergence rate of eigenvalues in a domain with a shrinking tube (2020)
V. Felli - D. Mukherjee - R. Ognibene (Journal of Functional Analysis)
On fractional multi-singular Schrödinger operators: positivity and localization of binding (2020)
F. Bianchi - L. Brasco (Preprint)
The fractional Makai-Hayman inequality (2021)
U. Boscain - D. Cannarsa - V. Franceschi - M. Sigalotti (Submitted Paper)
Local controllability does imply global controllability (2021)
M. T. Chiri - X. Gong - B. Piccoli (Preprint)
Hybrid multi-population traffic flow model: Optimal control for a mean-field limit (2021)
E. Mainini - R. Ognibene - D. Percivale (Preprint)
Asymptotic behavior of constrained local minimizers in finite elasticity (2021)
E. Davoli - K. Nik - U. Stefanelli (Submitted Paper)
Existence results for a morphoelastic model (2021)
M. Eleuteri - L. Lussardi - A. Torricelli (Submitted Paper)
Asymptotic analysis of a family of non-local functionals on sets (2021)
G. Franzina (Preprint)
Fractional semilinear eigenvalues (2021)
A. Leaci - F. Tomarelli (Accepted Paper: Note di Matematica)
Bilateral Riemann-Liouville fractional Sobolev spaces (2021)
A. Agrachev - L. Rizzi - T. Rossi (Preprint)
Relative heat content asymptotics for sub-Riemannian manifolds (2021)
G. Citti - S. Mukherjee (Preprint)
Regularity of quasi-linear equations with Hormander vector fields of step two (2021)
G. Franzina (Preprint)
Electromagnetic hypogene co-sesmic sources (2021)
M. S. Gelli - D. Lučić (preprint)
A note on BV and 1-Sobolev functions on the weighted Euclidean space (2021)
C. Brena - N. Gigli - S. Honda - X. Zhu (preprint)
Weakly non-collapsed RCD spaces are strongly non-collapsed (2021)
X. Fernández-Real - R. Tione (Submitted Paper)
Improved regularity of second derivatives for subharmonic functions (2021)
S. Stuvard - Y. Tonegawa (Preprint)
On the existence of canonical multi-phase Brakke flows (2021)
G. Catino - P. Mastrolia - D. D. Monticelli (Submitted Paper)
Rigidity of Critical Metrics for Quadratic Curvature Functionals (2021)
G. Di Fazio - Maria Stella Fanciullo - P. Zamboni (preprint)
Harnack inequality and regularity for degenerate quasilinear elliptic equations (2010)
G. Di Fazio - E. Francini - F. Raciti - S. Vessella (preprint)
Stable determination of a Lamé coefficient by one internal measurement of displacement (2017)
G. Di Fazio - Maria Stella Fanciullo - P. Zamboni (preprint)
Hölder regularity for non divergence form elliptic equations with discontinuous coefficients (2012)
G. Di Fazio - T. Nguyen (preprint)
Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations (2018)

Recently Modified Papers

W. Gangbo - A. R. Mészáros (Accepted Paper: Comm. Pure Appl. Math.)
Global well-posedness of Master equations for deterministic displacement convex potential mean field games (2021)
V. Buffa - G. E. Comi - M. Miranda Jr (Accepted Paper: Rev. Mat. Iberoamericana)
On $BV$ functions and essentially bounded divergence-measure fields in metric spaces (2019)
C. De Lellis - M. Focardi - S. Ghinassi (Accepted Paper: J. Math. Pures Appl.)
Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan (2020)
D. Bourne - R. Cristoferi (Communications in Mathematical Physics)
Asymptotic optimality of the triangular lattice for a class of optimal location problems (2021)
A. Mondino - D. Semola (Preprint)
Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds (2021)
G. E. Comi - D. Spector - G. Stefani (Preprint)
The fractional variation and the precise representative of $BV^{\alpha,p}$ functions (2021)
E. Cinti - R. Ognibene - B. Ruffini (Mathematics in Engineering)
A quantitative stability inequality for fractional capacities (2021)
P. Lewintan - P. Neff (Mathematical Methods in the Applied Sciences)
Nečas-Lions lemma revisited: An $L^p$-version of the generalized Korn inequality for incompatible tensor fields (2021)
P. Lewintan - P. Neff (Proceedings of the Royal Society of Edinburgh. Section A: Mathematics)
$L^p$-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions (2021)
A. Cesaroni - H. Kröner - M. Novaga (ESAIM: COCV)
Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions (2021)
E. Mainini - D. Percivale (Calc. Var. Partial Differential Equations)
Sharp conditions for the linearization of finite elasticity (2021)
D. Mazzoleni - B. Ruffini (Calc. Var. PDE)
A spectral shape optimization problem with a nonlocal competing term (2020)
T. Rossi (Advances in Calculus of Variations)
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group (2021)
E. Bruè - Q. Deng - D. Semola (Nonlinear Analysis)
Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces (2021)
S. Albeaik - A. Bayen - M. T. Chiri - X. Gong - A. Hayat - N. Kardous - A. Keimer - S. T. McQuade - B. Piccoli - Y. You (Accepted Paper: SIAM Journal on Applied Dynamical Systems)
Limitations and Improvements of the Intelligent Driver Model (IDM) (2021)
A. Braides - G. Scilla - A. Tribuzio (J. Nonlinear Sci.)
Nucleation and growth of lattice crystals (2021)
J. Hirsch - R. Tione (Calc. Var. Partial Differential Equations)
On the constancy theorem for anisotropic energies through differential inclusions (2020)
N. Gigli - F. Nobili (J. Geom. Anal.)
A differential perspective on Gradient Flows on ${\sf CAT}(κ)$-spaces and applications (2021)
A. Chambolle - V. Crismale (preprint)
Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities (2020)
M. Bonafini - V. P. C. Le (Submitted Paper)
Weak solutions for nonlinear waves in adhesive phenomena (2021)
M. A. Gunes - A. Mondino (Submitted Paper)
A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(K,N) spaces (2021)

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