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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
- Assistant Professor non-tenure track in Analysis/Geometry (Fribourg, Switzerland) (deadline: 15 Sep 2024)
- Assistant professor (TT) in Lisbon: Geometry and Topology (deadline: 26 Sep 2024)
- Assistant professor (TT) in Lisbon: Computational Mathematics and Numerical Analysis (deadline: 26 Sep 2024)
- Postdoc position in Analysis/PDE at UCLouvain, Belgium (deadline: 30 Sep 2024)
- One *Cat I* PhD Position - The Chinese University of Hong Kong, Shenzhen (deadline: 30 Sep 2024)
- 4 post-doc positions at the Scuola Superiore Meridionale (deadline: 15 Oct 2024)
- Postdoc position in sub-Riemannian geometry at SISSA, Trieste (Italy) (deadline: 31 Oct 2024)
- 6 year research position in Lisbon (deadline: 29 Nov 2024)
- 2 ERC Postdoc positions at Bocconi University, Milan (deadline: 30 Nov 2024)
- Assistant Professor at Bocconi University (deadline: 15 Dec 2024)
Forthcoming Seminars
- 18 Sep 2024: P. Hajłasz: Constructing diffeomorphisms and homeomorphisms with prescribed derivative
Forthcoming Events
- 12 - 14 Sep 2024: Recent Advances in NONLINEAR PDEs and Applications Hotel Ariston, Paestum (Salerno)
- 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
- 22 - 27 Sep 2024: Modelling, PDE analysis and computational mathematics in materials science Prague
- 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
- 2 - 4 Oct 2024: PDEs in Tenerife:from theory to applications La Laguna, Tenerife, Spain
- 23 - 25 Oct 2024: Nonlinear partial differential equations in Salzburg Salzburg, Austria
- 28 - 29 Oct 2024: PDEs in Milan 2024 University of Milan
- 4 - 7 Nov 2024: conference "Spectral Theory and Differential Equations" University of Hradec Králové, Czech Republic
- 5 Nov - 5 Dec 2024: Γ-CONVERGENCE: A 50 YEARS LONG STORY Universitat de Barcelona
- 25 - 29 Nov 2024: Frontiers in Sub-Riemannian Geometry (Aux frontières de la géométrie sous-riemannienne) CIRM, Marseille (France)
- 26 - 28 Nov 2024: (Non)local (non)linear workshop I in Prague Prague, Czech Republic
- 2 - 6 Dec 2024: Optimal Transportation and Applications Centro di Ricerca Matematica Ennio De Giorgi, Pisa
- 19 - 25 Jan 2025: Taiwan Winter School in Analysis Taipei
- 10 - 14 Feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 1 - 7 Jun 2025: Spring School on Analysis 2025: Function Spaces and Applications XIII Paseky nad Jizerou, Czech Republic
- 16 - 20 Jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
- 23 - 27 Jun 2025: Topics in Geometric Analysis Università di Pisa
Recently Added Papers
- S. Di Marino - M. Lewin - L. Nenna (Preprint)
The ground state energy is not always convex in the number of electrons (2024) - G. Dal Maso - D. Donati (preprint)
Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms (2024) - C. Brena (Ph.D. Thesis)
Functions of bounded variation on RCD spaces (2024) - I. Birindelli - A. Briani - H. Ishii (preprint)
Test function approach to fully nonlinear equations in thin domains (2024) - M. Bardi (Preprint: Discrete Contin. Dynam. Systems)
Asymptotic properties of non-coercive Hamiltonians with drift (2024) - M. Bardi - H. Kouhkouh (SIAM J. Math. Anal.)
Long-time behaviour of deterministic Mean Field Games with non-monotone interactions (2024) - A. Acharya - B. Stroffolini - A. Zarnescu (Preprint)
Variational Dual Solutions for Incompressible Fluids (2024) - J. D. Benamou - G. Carlier - M. Cuturi - L. Nenna - G. Peyré (Proceedings: Frontiers of Science Award paper)
A numerical method for regularized transportation problems (2024) - A. De Luca - V. Felli - S. Vita (Advances in Mathematics)
Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations (2022) - A. De Luca - V. Felli (Mathematics in Engineering)
Unique continuation from the edge of a crack (2020) - A. De Luca - V. Felli - G. Siclari (ESAIM: Control, Optimisation and Calculus of Variations)
Strong unique continuation from the boundary for the spectral fractional Laplacian (2023) - A. De Luca - S. Dipierro - E. Valdinoci (Mathematische Annalen)
Nonlocal capillarity for anisotropic kernels (2023) - A. De Luca - V. Felli - S. Vita (preprint)
Unique continuation from conical boundary points for fractional equations (2024) - A. De Luca - R. Folino - M. Strani (Milan Journal of Mathematics)
Layered patterns in reaction-diffusion models with Perona-Malik diffusions (2024) - A. De Luca (preprint)
A note on geometric assumptions for unique continuation from the edge of a crack (2024) - L. Benatti - C. Mantegazza - F. Oronzio - A. Pluda (Preprint)
A Note on Ricci-pinched three-manifolds (2024) - A. Kristály - A. Mondino (Submitted Paper)
Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability (2024) - P. Baldi - V. Julin - D. A. La Manna (preprint)
Liquid drop with capillarity and rotating traveling waves (2024) - M. Santilli - P. Valentini (Submitted Paper)
Alexandrov sphere theorems for $ W^{2,n} $-hypersurfaces (2024) - E. Caputo - A. Gerolin - N. Monina - L. Portinale (preprint)
Quantum optimal transport with convex regularization (2024) - P. Minter - D. Parise - A. Skorobogatova - L. Spolaor (Preprint)
Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents (2024) - A. Mielke - R. Rossi (preprint)
On De Giorgi's lemma for variational interpolants in metric and Banach spaces (2024) - R. Lasarzik - E. Rocca - R. Rossi (preprint)
Existence and weak-strong uniqueness for damage systems in viscoelasticity (2024) - E. Bruè - M. Colombo - A. Kumar (Preprint)
Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field (2024) - E. Bruè - M. Colombo - A. Kumar (Preprint)
Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity (2024) - S. Almi - R. Badal - M. Friedrich - S. Schwarzacher (Preprint)
Thermo-elastodynamics of nonlinearly viscous solids (2024) - E. G. Tolotti (preprint)
Stability of the Von Kármán regime for thin plates under Neumann boundary conditions (2024) - E. Pasqualetto (preprint)
Smooth approximations preserving asymptotic Lipschitz bounds (2024) - I. Fleschler - X. Tolsa - M. Villa (preprint)
Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's $\varepsilon^2$ conjecture in higher dimensions (2023) - I. Fleschler - X. Tolsa - M. Villa (preprint)
Carleson's $\varepsilon^2$ conjecture in higher dimensions (2023) - I. Fleschler (Proceedings)
Allard-type regularity theory for area minimizing currents at boundaries with arbitrary multiplicity (2024) - T. Bossio - L. Rizzi - T. Rossi (preprint)
Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups (2024) - R. Indergand - D. Kochmann - A. Ruland - A. Tribuzio - C. Zillinger (preprint)
On a $T_3$-Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations (2024) - M. Goldman - M. Novaga - B. Ruffini (Submitted Paper)
A charged liquid drop model with Willmore energy (2024)
Recently Modified Papers
- T. Guo - N. Karagodin - E. Stepanov (Preprint)
Optimal functional product quantization (2023) - A. Burchard - D. Carazzato - I. Topaloglu (Accepted Paper: ESAIM: COCV)
Maximizers of nonlocal interactions of Wasserstein type (2023) - M. Goldman - B. Merlet - M. Pegon (Accepted Paper: Arch. Rat. Mech. Anal.)
Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter (2022) - C. Mantegazza - M. Novaga - A. Pluda - F. Schulze (Astérisque)
Evolution of Networks with Multiple Junctions (2024) - T. Schmidt (Submitted Paper)
Isoperimetric conditions, lower semicontinuity, and existence results for perimeter functionals with measure data (2023) - V. Julin - D. A. La Manna (Journal of Mathematical Fluid Mechanics)
A priori estimates for the motion of charged liquid drop: A dynamic approach via free boundary Euler equations (2024) - N. Fusco - D. A. La Manna (preprint: Proceedings of the Edinburgh Mathematical Society)
A remark on a conjecture on the symmetric Gaussian Problem (2023) - N. Fusco - D. A. La Manna (Journal of Functional Analysis)
Some weighted isoperimetric inequalities in quantitative form (2023) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Annali di Matematica Pura e Applicata)
Stability of the Gaussian Faber-Krahn inequality (2024) - A. Pluda - Y. Tonegawa (Preprint)
Coarsening phenomena in the network flow (2024) - L. Ambrosio - C. Brena - S. Conti (Arch. Ration. Math. Anal.)
Functions with bounded Hessian-Schatten variation: density, variational and extremality properties (2023) - C. Brena - N. Gigli (Nonlinear Analysis)
About the general chain rule for functions of bounded variation (2023) - C. Brena - N. Gigli (Potential Anal.)
Fine representation of Hessian of convex functions and Ricci tensor on RCD spaces (2023) - C. Brena - N. Gigli (The Journal of Geometric Analysis)
Calculus and fine properties of functions of bounded variation on RCD spaces (2022) - C. Brena - N. Gigli (Journal of Functional Analysis)
Local vector measures (2022) - G. Antonelli - C. Brena - E. Pasqualetto (Annals of Global Analysis and Geometry)
Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces (2022) - C. Brena - D. Campbell (Adv. Calc. Var.)
BV and Sobolev homeomorphisms between metric measure spaces and the plane (2021) - L. Ambrosio - C. Brena (Discrete Contin. Dyn. Syst.)
Stability of a class of action functionals depending on convex functions (2021) - C. Brena - N. Gigli - S. Honda - X. Zhu (J. Reine Angew. Math. (Crelle's Journal))
Weakly non-collapsed RCD spaces are strongly non-collapsed (2021) - L. Ambrosio - S. Aziznejad - C. Brena - M. Unser (Calc. Var. PDE)
Linear Inverse Problems with Hessian-Schatten Total Variation (2022) - L. De Pascale - L. Nenna (Preprint)
A variational formulation of a Multi-Population Mean Field Games with non-local interactions (2024) - M. Bardi - H. Kouhkouh (ESAIM Control Optim. Calc. Var.)
Singular perturbations in stochastic optimal control with unbounded data (2023) - M. Bardi - H. Kouhkouh (SIAM J. Control Optim.)
Deep Relaxation of Controlled Stochastic Gradient Descent via Singular Perturbations (2024) - C. Brena - E. Pasqualetto - A. Pinamonti (Accepted Paper: Communications in Contemporary Mathematics)
Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel (2022) - L. Lussardi - A. Melchor Hernandez - M. Morandotti (M3AS)
$\Gamma$-convergence of discrete energies modeling self-aggregation of stochastic particles (2024) - C. De Lellis - A. Skorobogatova (Preprint)
The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$ (2023) - S. Della Corte - A. Diana - C. Mantegazza (Note di Matematica)
Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces (2024) - R. Benedetti - C. Mantegazza (Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.)
La congettura di Poincaré (2024) - G. B. De Luca - N. De Ponti - A. Mondino - A. Tomasiello (Journal of High Energy Physics)
Can you hear the Planck mass? (2024) - G. Catino - D. Dameno - P. Mastrolia (Accepted Paper: Math. Nachr.)
On Riemannian four-manifolds and their twistor spaces: a moving frame approach (2024) - G. Di Fratta - F. Solombrino (Proceedings of the American Mathematical Society)
Korn and Poincaré-Korn inequalities: A different perspective (2024) - E. Bruè - M. Coti Zelati - E. Marconi (Accepted Paper: Arch. Rat. Mech. Anal.)
Enhanced dissipation for two-dimensional Hamiltonian flows (2022) - G. Bevilacqua - A. Giorgini (SIAM Journal on Mathematical Analysis)
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics (2024) - L. Scardia - K. Zemas - C. I. Zeppieri (Accepted Paper: Probab. Theory Relat. Fields)
Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations (2024) - C. De Lellis - I. Fleschler (Accepted Paper: Mathematical Research Letters)
An elementary rectifiability lemma and some applications (2023) - G. Citti - A. Sarti (Submitted Paper)
A cortical based model of perceptual completion in the rototraslation space (2006) - A. Halavati (Accepted Paper)
Quantitative stability of Yang-Mills-Higgs instantons in two dimensions (2023) - M. Novaga - L. Sciaraffia (Accepted Paper: Interfaces and Free Boundaries)
Singularities of the network flow with symmetric initial data (2023) - A. Chambolle - M. Novaga (SIAM J. Math. Anal.)
$L^1$-gradient flow of convex functionals (2024) - D. Zucco (Journal of Mathematical Analysis and Applications)
Ahlfors regularity of continua that minimize maxitive set functions (2025) - V. Crismale - G. Lazzaroni - R. Rossi (preprint)
On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model (2023) - D. Engl - C. Kreisbeck - M. Morandotti (Accepted Paper: J. Convex Anal.)
Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities (2024) - C. Muratov - M. Novaga - P. Zaleski (Arch. Rat. Mech. Anal.)
A variational model of charged drops in dielectrically matched binary fluids: the effect of charge discreteness (2024)