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.
Projects
- Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
- Anisotropic geometric variational problems: existence, regularity and uniqueness (Antonio De Rosa)
- Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
- Geometry of Metric Groups (Enrico Le Donne) > papers
- Everything You Always Wanted to Know About the JKO Scheme (Filippo Santambrogio)
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)
Open Positions
- 3 Master's degree scholarships in Mathematics at Gran Sasso Science Institute (deadline: 15 Jun 2025)
- Tenure Track Position in Mathematical Analysis - Università Ca' Foscari Venezia (deadline: 16 Jun 2025)
- 2 (two) assistant professor positions at Faculty of Science of the University of Lisbon in the area of Mathematical Analysis (deadline: 18 Jun 2025)
- PhD in Udine (deadline: 20 Jun 2025)
- PhD in Trento/Verona (deadline: 20 Jun 2025)
- CONCORSO PUBBLICO, PER TITOLI ED ESAMI, PER L’ASSUNZIONE CON CONTRATTO DI LAVORO A TEMPO PIENO E INDETERMINATO DI UN RICERCATORE III LIVELLO PROFESSIONALE - PRESSO L’ ISTITUTO PER LE APPLICAZIONI DEL CALCOLO "MAURO PICONE" - SEDE ROMA (deadline: 25 Jun 2025)
- RTDA in Mathematical Analysis at Università di Padova (deadline: 25 Jun 2025)
- Assistant Professor (postdoc), non-tenure track (all genders welcome), University of Klagenfurt, Austria (deadline: 25 Jun 2025)
- University assistant predoctoral (all genders welcome), University of Klagenfurt, Austria (deadline: 25 Jun 2025)
- Postdoctoral position in calculus of variations, Charles University, Prague (deadline: 29 Jun 2025)
- Ph.D. positions in Mathematics: Ferrara, Modena-Reggio Emilia, Parma (deadline: 30 Jun 2025)
- PhD Position in Geometric Analysis in Salzburg (deadline: 2 Jul 2025)
- Postdoc and PhD positions in Computational PDEs, Vienna (deadline: 8 Jul 2025)
- CPJ CNRS in Analysis (deadline: 14 Jul 2025)
- 2x PhD Positions at the University of Pisa (Expressions of Interest are Welcome) (deadline: 15 Jul 2025)
Forthcoming Seminars
- 25 Jun 2025: X. Zhou: Some monotonicity for $p$-capacitary functions in $3$-manifolds with nonnegative scalar curvature
Forthcoming Events
- 31 Mar - 4 Jul 2025: Intensive trimester at GSSI on "Particles, Fluids and Patterns: Analytical and Computational Challenges" Gran Sasso Science Institute, L'Aquila, Italy
- 10 - 19 Jun 2025: School in Geometric Measure Theory and related topics Dep. of Mathematics (Pisa Univ.) and Centro di Ricerca Matematica E. De Giorgi.
- 11 - 14 Jun 2025: WODCA 2025 - Workshop on Optimization, Dynamics and Convex Analysis Aveiro
- 16 - 20 Jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
- 16 - 18 Jun 2025: Three days in Sub-Riemannian geometry Bologna
- 16 - 20 Jun 2025: Differential Geometry, Analysis and Epistemology in Milan - a conference in honor of Marco Rigoli's 70th birthday Università degli Studi di Milano
- 16 - 18 Jun 2025: PDEs @ Essex 2025: Regularity Theory of PDEs and Calculus of Variations University of Essex, UK
- 19 - 20 Jun 2025: Workshop on Variational Problems and PDEs Naples (Italy)
- 22 - 27 Jun 2025: Summer School on Geometric Analysis and PDEs Chęciny, Poland
- 23 - 27 Jun 2025: Topics in Geometric Analysis Università di Pisa
- 23 - 27 Jun 2025: Workshop: Novel methods of PDEs and function spaces University of Warsaw
- 23 - 27 Jun 2025: International geometric analysis conference in Milan Bocconi University, Milan, Italy
- 23 - 27 Jun 2025: Sub-Riemannian Geometry and Beyond, IV
- 25 - 27 Jun 2025: Three days in Calculus of Variations TU Wien (Vienna)
- 30 Jun - 4 Jul 2025: Topics in Geometric Measure Theory Università di Pisa
- 30 Jun - 4 Jul 2025: Differential Geometry@L'Aquila 2025 Università dell'Aquila
- 30 Jun - 4 Jul 2025: 21st School on Interactions between Dynamical Systems and Partial Differential Equations Centre de Recerca Matemàtica (CRM) - Barcelona
- 30 Jun - 4 Jul 2025: Regularity aspects of elliptic and parabolic PDE Thessaloniki, Greece
- 30 Jun - 4 Jul 2025: Mini-courses in Mathematical Analysis 2025 Padova, Italy
- 2 - 2 Jul 2025: 4th Meeting of the "UK metric geometry and analysis" network Queen Mary University London
- 7 - 11 Jul 2025: Geometric Methods in Calculus of Variations Centro De Giorgi, Pisa
- 13 - 18 Jul 2025: Warsaw Summer School on Evolutionary PDEs University of Warsaw
- 13 - 26 Jul 2025: Summer school in Geometric Measure Theory Hangzhou, China
- 14 - 18 Jul 2025: PRIN school on Geometry and Gravity SISSA
- 14 - 27 Jul 2025: Festum Pi Chania, Greece
- 21 - 23 Jul 2025: CoScaRa Workshop: Deterministic and Stochastic Advection in Fluid Dynamics Basel, Switzerland
- 21 - 25 Jul 2025: Nonlinear PDEs in Guimarães 2025 Guimarães, Portugal
- 22 - 24 Jul 2025: Workshop on Recent trends in calculus of variations and PDE University of Oldenburg, Germany
- 28 Jul - 1 Aug 2025: Interactions between convex geometry and spectral analysis Montréal
- 28 - 30 Jul 2025: Regensburg GAP Days Fakultät für Mathematik, Universität Regensburg
- 26 - 29 Aug 2025: Spectral Theory Workshop Reading, UK
- 31 Aug - 5 Sep 2025: Summer School "Curvature & Applications" Lake Chiemsee, Germany
- 1 - 5 Sep 2025: British Isles Graduate Workshop VI: Minimal surfaces Totland, YHA, Isle of Wight
- 1 - 3 Sep 2025: Three days between Analysis and Geometry in Trento - 4° Edition Trento
- 3 - 5 Sep 2025: Boundary Analysis for Dispersive and Viscous Fluids Pavia
- 3 - 5 Sep 2025: Mind the GAP - Young researchers meeting in Geometric Analysis and PDEs University of Trento
- 8 - 12 Sep 2025: Conference: Frontiers in Calculus of Variations and Applied Analysis TUM
- 8 - 11 Sep 2025: Perspectives in Geometric Analysis Politecnico di Milano
- 9 - 13 Sep 2025: Diffusion in Warsaw 2025
- 9 - 12 Sep 2025: Young Researchers Meeting on PDEs II Università di Milano-Bicocca
- 10 - 12 Sep 2025: New Challenges in Hyperbolic Problems Bernoulli Center, EPFL, Lausanne
- 18 - 19 Sep 2025: Advances in Calculus of Variations and Nonlinear Analysis Brescia
- 19 - 19 Sep 2025: Perspectives in the Calculus of Variations - Un incontro in onore di Gianni Dal Maso Accademia Nazionale dei Lincei - Palazzo Corsini - Via della Lungara, 10 - Roma
- 22 - 24 Sep 2025: Analysis of partial differential equations and Calculus of Variations Dresden
- 22 - 26 Sep 2025: Warsaw Analysis Days Event WADE25 University of Warsaw
- 24 - 26 Sep 2025: Hyperbolic Problems in Nürnberg
- 24 - 26 Sep 2025: Cauchy-Riemann Geometry and Subelliptic Theory Matera
- 29 Sep - 1 Oct 2025: Mathematical Analysis of Fluid Flows by Variational Methods Berlin
- 13 - 17 Oct 2025: Workshop "Optimal transport and metric geometry across structures" Bernoulli Center, EPFL, Lausanne
- 20 - 24 Oct 2025: Morphogenesis and morphing: 200 years after Gauss Centro De Giorgi, Pisa
- 22 - 24 Oct 2025: Variational Analysis of complex systems in Materials Science, Physics and Biology FBK-Polo Umanistico Via Santa Croce, 77 Trento
- 3 - 7 Nov 2025: 2nd Atlantic conference in nonlinear PDEs: Harmonic Analysis, Dispersive and Elliptic Equations Lisbon, Portugal
- 5 - 7 Nov 2025: Local and nonlocal methods in geometric analysis Centro di Ricerca Matematica E. De Giorgi
- 5 - 7 Nov 2025: NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN SALZBURG 2025 Salzburg, Austria
- 5 - 9 Jan 2026: ICMS Winter School: PDE in Geometry and Analysis ICMS in Edinburgh
- 12 - 16 Jan 2026: Calculus of Variations and applications CIRM, Marseille, France
- 27 - 30 Jan 2026: Shape Optimization, Geometric Inequalities and Related Topics Naples
- 9 - 13 Feb 2026: XXXV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 20 - 23 Apr 2026: Valentia Geometrica 2026: a workshop on Geometric Analysis Universitat de València
- 1 - 5 Jun 2026: Nonlinear Analysis, Function Spaces and Applications 13 (NAFSA 13) Prague, Czech Republic
Recently Added Papers
- D. Mucci - A. Saracco (Submitted Paper)
The fundamental theorem of the local theory for non-smooth curves (2025) - D. Mucci (Submitted Paper)
Functions of bounded variation in trace spaces (2025) - S. Baasandorj - S. Di Marino - A. Gerolin (preprint)
$C^{1,α}$-regularity for Schrödinger potentials of Shannon-entropy regularized Optimal Transport (2025) - S. Almi - M. Fornasier - J. Klemenc - A. Scagliotti (preprint)
Balanced quasistatic evolutions of critical points in metric spaces (2025) - G. Buttazzo - R. Ognibene (preprint)
Asymptotics of nonlinear Robin energies (2025) - K. Kroencke - F. Oronzio - A. Pinoy (Preprint)
Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds (2025) - A. Chambolle - D. De Gennaro - M. Morini (preprint)
Elementary discrete diffusion/redistancing schemes for the mean curvature flow (2025) - D. Sboev (Siberian Mathematical Journal)
Capacity Boundary Elements in Riemannian Manifolds and Generalized Boundaries (2025) - F. Cavalletti - D. Manini - A. Mondino (Preprint)
On the geometry of synthetic null hypersurfaces (2025) - A. de Villeroché (preprint)
Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue (2025) - C. Gambicchia - E. M. Merlino - B. Ruffini - M. Talluri (Submitted Paper)
Barycentric stability of nonlocal perimeters: the convex case (2025) - G. Alberti - A. Massaccesi - A. Merlo (Preprint)
Frobenius theorem and fine structure of tangency sets to non-involutive distributions (2025) - G. Alberti - A. Massaccesi - A. Merlo (Submitted Paper)
Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carathéodory spaces (2025) - D. Carazzato - A. Pratelli - I. Topaloglu (preprint)
Particle approximation of nonlocal interaction energies (2025)
Recently Modified Papers
- L. Benatti - C. Mantegazza - F. Oronzio - A. Pluda (Accepted Paper)
A Note on Ricci-pinched three-manifolds (2024) - S. Borza - L. Rizzi (Preprint)
Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures (2025) - D. Donati (Nonlinear Differential Equations and Applications NoDEA)
A new space of generalised vector-valued functions of bounded variation (2025) - G. C. Brusca - D. Donati - M. Solci (SIAM Journal on Mathematical Analysis)
Higher-order singular perturbation models for phase transitions (2025) - A. Pinamonti - S. Verzellesi (Accepted Paper: J. Geom. Anal.)
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups (2025) - L. Ganedi - A. Marveggio - K. Stinson (Accepted Paper: Adv. Calc. Var.)
Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow (2024) - G. Akagi - V. Bögelein - A. Marveggio - U. Stefanelli (J. Funct. Anal.)
Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations (2025) - A. Chambolle - D. De Gennaro - M. Morini (Accepted Paper: Analysis & PDE)
Discrete-to-continuous crystalline curvature flows (2024) - F. Bozzola - L. Brasco (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S)
Variations on the capacitary inradius (2025) - D. Sboev (Siberian Mathematical Journal)
$BV$-spaces and the bounded composition operators of $BV$-functions on Carnot groups (2023) - G. E. Comi - V. De Cicco - G. Scilla (Preprint)
Beyond $BV$: new pairings and Gauss-Green formulas for measure fields with divergence measure (2023) - A. Scagliotti - S. Farinelli (Nonlinear Analysis)
Normalizing flows as approximations of optimal transport maps via linear-control neural ODEs (2025) - A. Cucinotta - A. Mondino (Preprint)
A splitting theorem for manifolds with a convex boundary component and applications (2024) - E. G. Tolotti (Accepted Paper: ESAIM: Control, Optimisation and Calculus of Variations)
Stability of the Von Kármán regime for thin plates under Neumann boundary conditions (2024) - E. G. Tolotti (Journal of Nonlinear Science)
On the hierarchy of plate models for a singularly perturbed multi-well nonlinear elastic energy (2025) - A. Pratelli - D. Carazzato (Math. Ann.)
On the existence and boundedness of minimizing measures for a general form of non-local energies (2025) - W. Borrelli - U. Morellini (J. Phys. A: Math. Theor.)
Global well-posedness in a Hartree-Fock model for graphene (2025) - D. De Gennaro (Accepted Paper: Calculus of Variations and Partial Differential Equations)
Variational Nonlinear and Nonlocal Curvature Flows (2024) - L. Lamberti - A. Lemenant (Preprint)
Quantitative regularity properties for the optimal design problem (2025) - A. Bach - M. Cicalese - A. Garroni - G. Orlando (Accepted Paper: Arch. Ration. Mech. Anal.)
Stacking faults in the limit of a discrete model for partial edge dislocations (2024) - P. Ambrosio - A. G. Grimaldi - A. Passarelli di Napoli (Submitted Paper)
On the second-order regularity of solutions to widely singular or degenerate elliptic equations (2025) - J. Pozuelo - S. Verzellesi (Accepted Paper: Trans. Amer. Math. Soc.)
Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups (2025)