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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

Assegno di ricerca di 1 anno, settore MAT/05 (Università di Firenze) (deadline: 23 Oct 2020)
postdoc position (assegno) in Analysis in Pisa (deadline: 31 Oct 2020)
One PhD and one PostDoc positions at the University of Basel in the group of Prof. G. Crippa (deadline: 31 Oct 2020)
Open Call: PhD and Postdoc Positions, Young Research Groups - Mathematics Münster (Autumn Round 2020) (deadline: 1 Nov 2020)
Ricercatore a Tempo Determinato - Tipo A (Università Cattolica del Sacro Cuore, Brescia) (deadline: 5 Nov 2020)
Postdoc position at the University of Pavia (deadline: 13 Nov 2020)
ERC postodctoral positions (deadline: 13 Nov 2020)
One-year PostDoc position in Genoa (deadline: 23 Nov 2020)
Junior Professorship (non TT) for Applied Mathematics (deadline: 29 Nov 2020)
Tenured position in Differential Geometry in Bruxelles (deadline: 1 Dec 2020)
Postdoctoral Researcher at Okinawa Institute of Science and Technology under Prof. Daniel Spector (deadline: 15 Dec 2020)
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

21 Oct 2020: S. Terracini: Liouville type theorems and local behaviour of solutions to degenerate or singular problems

Forthcoming Events

19 - 23 Oct 2020: 2020 Fields Medal Symposium
30 - 30 Oct 2020: Incontri di Analisi Matematica tra Firenze, Pisa e Siena streaming
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
13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne

Recently Added Papers

G. M. Coclite - N. De Nitti - M. Garavello - F. Marcellini (Submitted Paper)
Vanishing viscosity for a $2\times 2$ system modeling congested vehicular traffic (2020)
R. Cristoferi - G. Gravina (preprint)
On the relaxation of functionals with contact terms on non-smooth domains (2020)
P. Piovano - I. Velčić (Submitted Paper)
Microscopical justification of Solid-State Wetting and Dewetting (2020)
M. Friedrich - M. Perugini - F. Solombrino (preprint)
$Γ$-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation (2020)
C. De Lellis - M. Focardi - S. Ghinassi (Preprint)
Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan (2020)
W. Borrelli (Submitted Paper)
Symmetric solutions for a 2D critical Dirac equation (2020)
S. Dipierro - F. Onoue - E. Valdinoci (Submitted Paper)
(Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property (2020)
E. Mukoseeva (Preprint)
The sharp quantitative isocapacitary inequality (the case of $p$-capacity) (2020)
T. Rossi (preprint)
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group (2020)
F. De Marchis - A. Malchiodi - L. Martinazzi - P. D. Thizy (Preprint)
Critical points of the Moser-Trudinger functional on closed surfaces (2020)
F. Tripaldi (preprint)
The Rumin complex on nilpotent Lie groups (2020)
E. Le Donne - F. Tripaldi (preprint)
A Cornucopia of Carnot groups in Low Dimensions (2020)

Recently Modified Papers

V. Crismale - M. Friedrich - F. Solombrino (Accepted Paper: Advances in Calculus of Variations)
Integral representation for energies in linear elasticity with surface discontinuities (2020)
S. Guarino Lo Bianco - D. A. La Manna - B. Velichkov (Submitted Paper)
A two-phase problem with Robin conditions on the free boundary (2020)
M. Focardi - E. Spadaro (Accepted Paper: Advances in Calculus of Variations)
The local structure of the free boundary in the fractional obstacle problem (2019)
A. Pratelli - E. Radici (Rend. Lincei Mat. Appl.)
On the planar minimal BV extension problem (2018)
D. Campbell - S. Hencl - A. Kauranen - E. Radici (Nonlinear Analysis)
Strict limits of planar BV homeomorphisms (2018)
M. Bonacini - S. Conti - F. Iurlano (preprint)
Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models (2020)
C. Dappiaggi - F. Finster - S. Murro - E. Radici (Journal of Mathematical Analysis and Applications)
The fermionic signature operator in de Sitter spacetime (2020)
M. Di Francesco - S. Fagioli - E. Radici (Journal of Differential Equation)
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility (2018)
A. Pratelli - E. Radici (Journal of Functional Analysis)
Approximation of planar BV homeomorphisms by diffeomorphisms (2019)
S. Fagioli - E. Radici (Math. Mod. Meth. in Appl. Sci.)
Solutions to aggregation-diffusion equations with nonlinear mobility constructed via a deterministic particle approximation (2018)
E. Radici (Pacific Journal of Mathematics)
A planar Sobolev extension theorem for piecewise linear homeomorphisms (2016)
V. Crismale - G. Scilla - F. Solombrino (Calc. Var. Partial Differential Equations)
A derivation of Griffith functionals from discrete finite-difference models (2020)
L. Kreutz - P. Piovano (Accepted Paper: SIAM J. Math. Anal.)
Microscopic validation of a variational model of epitaxially strained crystalline films (2020)
M. Pozzetta (Accepted Paper: Comm. Anal. Geom.)
Confined Willmore energy and the Area functional (2020)
S. Biagi - A. Pinamonti - E. Vecchi (Accepted Paper: NoDEA)
Pohozaev-type identities for differential operators driven by homogeneous vector fields (2020)
K. Bredies - M. Carioni - S. Fanzon - F. Romero (Submitted Paper)
On the extremal points of the ball of the Benamou-Brenier energy (2019)
L. Lussardi (Proceedings: Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization)
The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies (2020)
A. Carbotti - G. E. Comi (Accepted Paper: Communications on Pure and Applied Analysis)
A note on Riemann-Liouville fractional Sobolev spaces (2020)
D. Mazzoleni - B. Ruffini (Submitted Paper)
A spectral shape optimization problem with a nonlocal competing term (2020)
A. Malchiodi - M. Novaga - D. Pagliardini (Accepted Paper: Annales IHP - Analyse Nonlineaire)
On critical points of the relative fractional perimeter (2018)
F. Farroni (Accepted Paper: Ricerche di Matematica)
Asymptotic stability estimates for some evolution problems with singular convection fiels (2020)
C. Kreisbeck - E. Zappale (Accepted Paper: SIAM SIMA)
Loss of double-integral character during relaxation (2019)
C. Kreisbeck - E. Zappale (Calc. Var.)
Lower semicontinuity and relaxation of nonlocal $L^\infty$-functionals (2020)
D. Grandi - M. Kruzik - E. Mainini - U. Stefanelli (Accepted Paper: J. Elast.)
Equilibrium for multiphase solids with Eulerian interfaces (2020)
A. Chambolle - M. Novaga (Submitted Paper)
Anisotropic and crystalline mean curvature flow of mean-convex sets (2020)
Y. Giga - F. Onoue - K. Takasao (Submitted Paper)
A varifold formulation of mean curvature ow with Dirichlet or dynamic boundary conditions (2018)
F. Onoue (Accepted Paper: Rendiconti del Seminario Matematico della Università di Padova)
Nonexistence of Minimizers for a Nonlocal Perimeter Functional with a Riesz and a Background Potential (2019)
R. Cristoferi (Accepted Paper: Journal of Applied Analysis)
Exact solutions for the denoising problem of piecewise constant images in dimension one (2020)
M. Caroccia - R. Cristoferi (Journal of Nonlinear Science)
On the Gamma convergence of functionals defined over pairs of measures and energy-measures (2020)
N. Gigli - A. Tyulenev (Preprint)
Korevaar-Schoen's directional energy and Ambrosio's regular Lagrangian flows (2019)
A. Bach - L. Sommer (ESAIM Math. Model. Numer. Anal.)
A $\Gamma$-convergence result for fluid-filled fracture propagation (2020)
A. Bach - A. Braides - M. Cicalese (SIAM J. Math. Anal.)
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (2020)
A. Bach - A. Braides - C. I. Zeppieri (Interfaces Free Bound.)
Quantitative analysis of finite-difference approximations of free-discontinuity problems (2020)
A. Bach (ESAIM: Control Optim. Calc. Var.)
Anisotropic free-discontinuity functionals as the $\Gamma$-limit of second-order elliptic functionals (2018)

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