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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
- Floer Professorship in Pure Mathematics (deadline: 16 Oct 2022)
- OPEN CALL: Doctoral and Postdoctoral Positions and Young Research Groups at Mathematics Münster (deadline: 1 Nov 2022)
- Chapman Fellow at Imperial College London (deadline: 7 Nov 2022)
- Postdoc position at Universitat Politècnica de Catalunya (deadline: 15 Nov 2022)
- Postdoctoral Positions at CRM - Barcelona (deadline: 15 Nov 2022)
- 2-year Postdoc in Analysis+PDE (Barcelona) (deadline: 15 Nov 2022)
- PhD Positions in the field Nonlinear PDEs (Analysis or Numerics) Graduate School IntComSin Erlangen-Regensburg (deadline: 30 Nov 2022)
- Postdoctoral Position in Mathematics of Machine Learning at MaLGa (Genova) and uOttawa (Canada) (deadline: 30 Nov 2022)
- Research project on Optimal Transportation (deadline: 30 Apr 2023)
Forthcoming Events
- 24 - 28 Oct 2022: Optimal Transportation and Applications Pisa: Centro De Giorgi
- 7 - 11 Nov 2022: Discrete Systems and Calculus of Variations Institute for Advanced Studies TU Munich
- 20 - 26 Nov 2022: Oberwolfach Seminar: Interfaces: Modeling, Analysis, Numerics Oberwolfach (Germany)
- 24 - 25 Nov 2022: Matematica per l'Intelligenza Artificiale e il Machine Learning: Giovani ricercatori Aula Magna Lingotto del Politecnico di Torino
- 20 - 24 Feb 2023: Between Regularity and Defects: Variational and Geometrical Methods in Materials Science Erwin Schrödinger Institute (ESI), Vienna
- 27 - 31 Mar 2023: Geometry and Control in Cortona
- 10 - 24 May 2023: Summer School on PDEs and Randomness Max Planck Institute for Mathematics in the Sciences, Leipzig
- 12 - 16 Jun 2023: Calculus of Variations and Geometric Measure Theory Aula Magna - Polo Fibonacci, Pisa
- 10 - 14 Jul 2023: Summer School/Conference at Imperial College London Imperial College London
- 20 - 22 Sep 2023: Variational models for material failure FAU Erlangen-Nürnberg
Recently Added Papers
- A. Figalli - C. Kehle (Accepted Paper: Discrete Contin. Dyn. Syst.)
On the prescribed negative Gauss curvature problem for graphs (2022) - A. Figalli - Y. R. Y. Zhang (Accepted Paper: Comm. Pure Appl. Math.)
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations (2022) - A. Figalli - A. Belotto da Silva - A. Parusiński - L. Rifford (Invent. Math.)
Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3 (2022) - A. Chambolle - M. Novaga (Submitted Paper)
$L^1$-gradient flow of convex functionals (2022) - J. F. Babadjian - V. Millot - R. Rodiac (Submitted Paper)
On the convergence of critical points of the Ambrosio-Tortorelli functional (2022) - A. Figalli - X. Fernández-Real (Lecture Notes: Preprint)
The continuous formulation of shallow neural networks as wasserstein-type gradient flows (2020) - F. Sk (Submitted Paper)
Characterizations of fractional Sobolev--Poincaré and (localized) Hardy inequalities (2022) - M. Magnabosco - L. Portinale - T. Rossi (preprint)
The strong Brunn--Minkowski inequality and its equivalence with the CD condition (2022) - D. Finco - L. Tentarelli - A. Teta (preprint)
Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity (2022) - F. Nobili - I. Y. Violo (preprint)
Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds (2022) - S. Almi - C. D'Eramo - M. Morandotti - F. Solombrino (Preprint)
Mean-field limits for entropic multi-population dynamical systems (2022) - D. Trevisan - M. Goldman (Submitted Paper)
Optimal transport methods for combinatorial optimization over two random point sets (2022) - L. Nenna - B. Pass (Proceedings)
A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions (2022) - M. Friedrich - L. Kreutz (Preprint)
A proof of finite crystallization via stratification (2022) - P. Miller - D. Fortunato - M. Novaga - S. Shvartsman - C. Muratov (Submitted Paper)
Generation and motion of interfaces in a mass-conserving reaction-diffusion system (2022) - F. Della Pietra - G. Piscitelli (preprint)
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes (2020) - A. Corbo Esposito - L. Faella - G. Piscitelli - R. Prakash - A. Tamburrino (preprint)
Monotonicity Principle in Tomography of Nonlinear Conducting Materials (2020) - A. Tamburrino - G. Piscitelli - Z. Zhou (preprint)
The Monotonicity Principle for Magnetic Induction Tomography (2020) - A. Corbo Esposito - G. Piscitelli (preprint)
The Pseudo-orthogonality for Graph $1$-Laplacian Eigenvectors and Applications to Higher Cheeger Constants and Data Clustering (2021) - N. Gavitone - G. Paoli - G. Piscitelli - R. Sannipoli (preprint)
An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole (2021) - F. Della Pietra - G. Piscitelli (preprint)
Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators (2022) - A. Arroyo-Rabasa (preprint)
A Lebesgue-Lusin property for gradients of first-order linear operators (2022) - M. Magnabosco - L. Portinale - T. Rossi (preprint)
The Brunn--Minkowski inequality implies the CD condition in weighted Riemannian manifolds (2022)
Recently Modified Papers
- A. Figalli - D. Jerison (Accepted Paper: Ann. Sci. Éc. Norm. Supér.)
A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces (2019) - Y. R. Y. Zhang - A. Figalli (Accepted Paper: Comm. Pure Appl. Math.)
Strong stability for the Wulff inequality with a crystalline norm (2020) - A. Figalli - S. Kim - H. Shahgholian (Submitted Paper)
Lipschitz Regularity in Vectorial Linear Transmission Problems (2020) - M. Bonacini - R. Cristoferi (Journal of Nonlinear Science)
Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity (2022) - R. March - G. Riey (Inverse Problems and Imaging)
Euler equations and trace properties of minimizers of a functional for motion compensated inpainting (2022) - L. De Luca - R. Scala - N. Van Goethem (Preprint)
A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation (2022) - D. Forkert - J. Maas - L. Portinale (SIAM Journal on Mathematical Analysis (SIMA))
Evolutionary $Γ$-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions (2022) - P. Gladbach - E. Kopfer - J. Maas - L. Portinale (Journal des Mathématiques Pures et Appliquées)
Homogenisation of one-dimensional discrete optimal transport (2020) - W. Borrelli - R. Carlone - L. Tentarelli (Comm. Math. Phys.)
Complete ionization for a non-autonomous point interaction model in d=2 (2022) - W. Borrelli - A. Maalaoui - V. Martino (Accepted Paper: Calc. Var. PDE)
Conformal Dirac-Einstein equations on manifolds with boundary (2022) - S. Guarino Lo Bianco - D. A. La Manna - B. Velichkov (Submitted Paper)
Free boundary cluster with Robin condition on the transmission interface (2022) - R. Ducasse - F. Santambrogio - H. Yoldas (Accepted Paper: Calc. Var. PDEs)
A cross-diffusion system obtained via (convex) relaxation in the JKO scheme (2022) - E. Pasqualetto (Accepted Paper: Archiv der Mathematik)
A short proof of the existence of master test plans (2022) - F. Bianchi - L. Brasco - A. C. Zagati (Preprint)
On the sharp Hardy inequality in Sobolev-Slobodeckii spaces (2022) - J. Ok - G. Scilla - B. Stroffolini (Comm. Pure Appl. Anal.)
Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth (2021) - C. S. Goodrich - G. Scilla - B. Stroffolini (Proc. Roy. Soc. Edinburgh Sect. A)
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth (2021) - C. Mantegazza
Notes on the Distance Function from a Submanifold (2010) - G. Catino - P. Mastrolia - A. Roncoroni (Submitted Paper)
Two rigidity results for stable minimal hypersurfaces (2022) - D. Castorina - G. Catino - C. Mantegazza (Accepted Paper: Ann. Mat. Pura Appl.)
Semilinear Li & Yau inequalities (2022) - L. Battaglia - A. Jevnikar - Z. A. Wang - W. Yang (Accepted Paper: Ann. Mat. Pura Appl.)
Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary (2022) - M. Bresciani - M. Kruzik (Submitted Paper)
A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity (2021)