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.

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

- 15 May 2024: June 3 - 7, 2024 - Taiwan NCTS/NTNU Conference on Fractional Integrals and Related Phenomena in Analysis

- Post-Doc Position in Naples (deadline: 21 May 2024)
- 12 PhD Fellowships in "Mathematics in Natural, Social and Life Sciences" at Gran Sasso Science Institute (GSSI) (deadline: 23 May 2024)
- Postdoc in Vienna, 3 years (deadline: 27 May 2024)
- LMS Distinguished Visiting Fellowships programme at ICMU Kyiv (deadline: 31 May 2024)
- PhD and PostDoc Positions in Mathematical Fluid Dynamics (Research Group of Prof. Gianluca Crippa at the University of Basel) (deadline: 31 May 2024)
- ERC Postdoc position at Bocconi University, Milan (deadline: 31 May 2024)
- Post-doc position, IRMA, Université de Strasbourg (deadline: 7 Jun 2024)
- Ph.D. positions in Mathematics: Ferrara, Modena-Reggio Emilia, Parma (deadline: 10 Jun 2024)
- postdoc position at CNR-IMATI, Pavia (Italy) under the mentorship of Laura Spinolo (deadline: 12 Jun 2024)
- FAPESP-Postdoc Position at the Inst. Math. Stat. of the University of São Paulo, SP, Brazil. (deadline: 30 Jun 2024)

- 19 - 24 May 2024: Oberwolfach School: Long-time behavior in Fluids Oberwolfach
- 20 - 22 May 2024: 50 Anni di Calcolo delle Variazioni Dipartimento di Matematica, Università di Pisa
- 21 - 24 May 2024: Workshop: Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension ESI-Erwin Schrödinger International Institute for Mathematics and Physics,Vienna
- 27 - 29 May 2024: Shape Optimization, Geometric Inequalities and Related Topics – II Edition Sala conferenze e del Chiostro dell'edificio Roasio, Lecce
- 27 - 31 May 2024: Modeling and analysis in nanomagnetism and beyond Aula G, Plesso di Matematica, Campus, University of Parma
- 30 - 30 May 2024: One-Day Workshop on Applied Mathematics Politecnico di Bari
- 2 - 8 Jun 2024: First Chinese-Italian Workshop on Elliptic PDEs and Variational Problems Huangshan city(Yellow Mountain), Anhui Province, China
- 3 - 7 Jun 2024: Barcelona Analysis Conference 24 Barcelona
- 5 - 7 Jun 2024: Perspectives in PDEs, Global and Functional Analysis Università degli Studi dell'Insubria - Sede di Sant'Abbondio a Como
- 6 - 7 Jun 2024: Calculus of Variations and Nonlinear Analysis in the Applied Sciences Dipartimento SBAI, Sapienza - Università di Roma
- 6 - 7 Jun 2024: NonPUB24 Dipartimento di Matematica, Università di Bologna
- 6 - 6 Jun 2024: PDEs in Ancona Università Politecnica delle Marche
- 9 - 14 Jun 2024: 13th School on Analysis and Geometry in Metric Spaces Trento
- 9 - 15 Jun 2024: Geometric And Variational Analysis - In memory of Jan Malý Będlewo, Poland
- 17 - 21 Jun 2024: Geometric Measure Theory and applications 2024 Cortona
- 24 - 28 Jun 2024: Vito Volterra Meeting in Calculus of Variations 2024 Department of Mathematics, Sapienza, Rome
- 24 - 28 Jun 2024: Calculus of Variations in Lille - 4th edition Lille, France
- 24 - 28 Jun 2024: Mini-courses in Mathematical Analysis 2024 Padova, Italy
- 24 - 28 Jun 2024: First Johns Hopkins University - University of Bologna Conference "Noncommutativity at the Interface of Topology, Geometry and Analysis" Bologna, Italy
- 1 - 5 Jul 2024: Swansea Summer School in Nonlinear PDEs Swansea
- 3 - 5 Jul 2024: PaPa24: Padua Paris Sub-Riemannian seminar Padova
- 4 - 5 Jul 2024: Two nonlinear days in Urbino 2024 Urbino (Italy)
- 8 - 12 Jul 2024: Diffuse Interface methods in Continuum Mechanics: analysis, singular limits and algorithms Cetraro, Italy
- 8 - 12 Jul 2024: Alhambra PDE days Granada
- 8 - 12 Jul 2024: 20th School on Interactions between Dynamical Systems and Partial Differential Equations (JISD2024) Barcelona, Spain
- 8 - 12 Jul 2024: A School on Regularity Theory in the South of Italy
- 8 - 20 Jul 2024: Festum Pi Summer School + Conference in Chania Chania, Crete, Greece
- 11 - 12 Jul 2024: Variational Inequalities, Nash Equilibrium Problems and Applications (VINEPA 2024) Catania, Department of Mathematics and Computer Science
- 22 - 26 Jul 2024: Bridging PDE and Geometric Flows - An LMS-HIMR Research School Cardiff University - School of Mathematics
- 22 - 26 Jul 2024: Summer School UIMP 2024 "The Laplacian and beyond. Celebrating the mathematics of Luis Caffarelli” Santander (Spain)
- 28 Jul - 3 Aug 2024: Summer School on Geometric Analysis and PDEs Bedlewo, Poland
- 29 Jul - 7 Aug 2024: Summer School ATA XVI: Sub-Riemannian Geometry and Optimal Transport Kolochava, Zakarpattya region, Ukraine
- 21 - 23 Aug 2024: Workshop - Metric Geometry and Geometric Measure Theory Fribourg, Switzerland
- 26 - 30 Aug 2024: Workshop on liquid thin films MPI MIS, Leipzig
- 1 - 6 Sep 2024: Quantum Optimal Transport and Applications Palazzone della Scuola Normale in Cortona
- 2 - 4 Sep 2024: Three days between analysis and geometry in Trento (third edition) Trento
- 2 - 4 Sep 2024: Meeting On Differential Equations in Ancona Università Politecnica delle Marche
- 3 - 6 Sep 2024: Perturbations, Asymptotics, and related Tools Matera, Italy
- 5 - 7 Sep 2024: A Pisan workshop in Geometric Analysis Università di Pisa
- 9 - 13 Sep 2024: UK Workshop on Spectral Theory ICMS, Edinburgh, UK
- 9 - 13 Sep 2024: Pisa-Freiburg school in Applied Analysis Università di Pisa
- 9 - 13 Sep 2024: ''Italian-Japanese Workshop on Variational Perspectives for PDEs'' Pavia
- 9 - 13 Sep 2024: ''Italian-Japanese Workshop on Variational Perspectives for PDEs'' Pavia
- 9 - 13 Sep 2024: ''Italian-Japanese Workshop on Variational Perspectives for PDEs'' Pavia
- 12 - 13 Sep 2024: MGT^2 : Milano-Grenoble-Torino Meeting in Geometry and Topology Università degli Studi di Milano-Bicocca
- 16 - 19 Sep 2024: 12th Workshop of the GAMM Activity Group "Analysis of Partial Differential Equations" Prague
- 16 - 20 Sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso Samos, Greece
- 16 - 20 Sep 2024: Workshop "Calculus of Variations: a New Generation" Bonn
- 16 - 17 Sep 2024: Elliptic and parabolic problems: analytic and geometric methods Napoli
- 23 Sep - 1 Oct 2024: School and Conference on Metric Measure Spaces, Ricci Curvature, and Optimal Transport Varenna
- 25 - 27 Sep 2024: Young Researchers Meeting on PDEs Milan, Italy
- 10 - 14 Feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione

- D. Bourne - M. Pearce - S. Roper (Submitted Paper)

Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport (2024) - D. Mazzoleni - C. Muratov - B. Ruffini (Preprint)

An optimal design problem for a charge qubit (2024) - D. Corro - J. Santos-Rodríguez - J. Núñez-Zimbrón (preprint)

Cohomogeneity one RCD-spaces (2024) - G. Antonelli - K. Xu (Preprint)

New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry (2024) - A. Braides - S. Scalabrino - C. Trifone (Submitted Paper)

Homogenization of non-local energies on disconnected sets (2024) - M. Gallo (preprint)

Asymptotic decay of solutions for sublinear fractional Choquard equations (2023) - M. Gallo - M. Squassina (Submitted Paper)

Concavity and perturbed concavity for $p$-Laplace equations (2024) - M. Gallo (Ph.D. Thesis)

Nonlocal elliptic PDEs with general nonlinearities (2024) - A. Corbo Esposito - L. Faella - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data (2023) - A. Corbo Esposito - L. Faella - V. Mottola - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)

The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems (2023) - G. Piscitelli (preprint)

Symmetry results for a nonlocal eigenvalue problem (2024) - N. David - A. R. Mészáros - F. Santambrogio (Preprint)

Improved convergence rates for the Hele-Shaw limit in the presence of confining potentials (2024) - D. Bartolucci - A. Jevnikar - R. Wu (Preprint)

Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics (2024) - A. Braides - E. Voglino - M. Zanardini (Submitted Paper)

Microstructures and anti-phase boundaries in long-range lattice systems (2024) - L. Ferreri - L. Spolaor - B. Velichkov (preprint)

On the fine structure of the solutions to nonlinear thin two-membrane problems in 2D (2024) - C. Leone - G. Scilla - F. Solombrino - A. Verde (Preprint)

Strong existence for free-discontinuity problems with non-standard growth (2024) - J. Pozuelo - S. Verzellesi (Preprint)

Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups (2024) - J. Ginster - A. Ruland - A. Tribuzio - B. Zwicknagl (preprint)

On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations (2024) - H. Lavenant - J. Luckhardt - G. Mordant - B. Schmitzer - L. Tamanini (preprint)

The Riemannian geometry of Sinkhorn divergences (2024) - A. Cucinotta (Preprint)

Convergence of the area functional on spaces with lower Ricci bounds and applications (2024) - A. Pinamonti - F. Serra Cassano - K. Zambanini (Preprint)

On some intrinsic differentiability properties for Absolutely Continuous functions between Carnot groups and the Area formula (2024) - E. Bruè - A. Pigati - D. Semola (Preprint)

Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below (2024) - D. G. Afonso - G. Siciliano (
*Communications in Contemporary Mathematics*)

Normalized solutions to a Schrödinger-Bopp-Podolsky system under Neumann conditions (2021) - F. Anceschi - G. Ascione - D. Castorina - F. Solombrino (Submitted Paper)

Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift (2024)

- E. Bruè - A. Naber - D. Semola (Accepted Paper:
*Ann. Math.*)

Fundamental Groups and the Milnor Conjecture (2023) - E. Bruè - A. Mondino - D. Semola (
*Geom. Funct. Anal.*)

The metric measure boundary of spaces with Ricci curvature bounded below (2023) - N. Gigli - A. Mondino - D. Semola (
*Proc. Amer. Math. Soc.*)

On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications (2024) - G. Saracco - G. Stefani (Accepted Paper:
*J. Math. Pures Appl. (9)*)

On the $N$-Cheeger problem for component-wise increasing norms (2024) - J. Ok - G. Scilla - B. Stroffolini (
*Calculus of Variations and Partial Differential Equations*)

Partial regularity results for degenerate parabolic systems with general growth via caloric approximations (2024) - A. Goffi - T. Leonori (Accepted Paper:
*Indiana University Mathematics Journal*)

On maximal regularity estimates for quasilinear evolution equations via the integral Bernstein method (2023) - M. Novack (
*Journal of Geometric Analysis*)

On the relaxation of Gauss's capillarity theory under spanning conditions (2024) - S. Cingolani - M. Gallo - K. Tanaka (
*Advanced Nonlinear Studies*)

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities (2024) - N. Almousa - J. Assettini - M. Gallo - M. Squassina (
*Differential Integral Equations*)

Concavity properties for quasilinear equations and optimality remarks (2023) - R. Alicandro - A. Braides - M. Solci - G. Stefani (Submitted Paper)

Topological singularities arising from fractional-gradient energies (2023) - E. Caputo - M. Lučić - E. Pasqualetto - I. Vojnović (
*Revista Matemática Complutense*)

On the integration of Banach modules and its applications to vector calculus on ${\sf RCD}$ spaces (2023) - R. Benedetti - C. Mantegazza (Accepted Paper:
*Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.*)

La congettura di Poincaré (2024) - S. Della Corte - A. Diana - C. Mantegazza (Accepted Paper:
*Note di Matematica*)

Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces (2024) - A. Cucinotta - F. Fiorani (Preprint)

On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound (2024) - N. Cangiotti - M. Sensi (
*Indian Journal of Pure and Applied Mathematics*)

Exact solutions for a Solow-Swan model with non-constant returns to scale (2023) - S. Albeverio - N. Cangiotti - S. Mazzucchi (
*Communications in Mathematical Physics*)

A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field (2020) - N. Cangiotti - M. Capolli - M. Sensi - S. Sottile (
*Bollettino dell'Unione Matematica Italiana*)

A survey on Lyapunov functions for epidemic compartmental models (2023) - N. Cangiotti - M. Capolli - M. Sensi (
*Operational Research*)

A generalization of unaimed fire Lanchester’s model in multi-battle warfare (2023) - A. Diana (Submitted Paper)

Elastic flow of curves with partial free boundary (2023) - D. De Gennaro - A. Diana - A. Kubin - A. Kubin (
*Math. Ann.*)

Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus (2023) - S. Stuvard - Y. Tonegawa (Accepted Paper:
*J. Differential Geom.*)

Dynamical instability of minimal surfaces at flat singular points (2024) - D. Albritton - E. Bruè - M. Colombo (
*Annals of PDE*)

Gluing non-unique Navier-Stokes solutions (2022) - G. Antonelli - F. Glaudo (Accepted Paper:
*Journal für die reine und angewandte Mathematik (Crelle's Journal)*)

Nonexistence of isoperimetric sets in spaces of positive curvature (2024)