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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
- RTT tenure-track position, Parma, SSD MATH-03/A (deadline: 16 Oct 2025)
- University Professorship (W3) "Analysis of partial differential equations" (deadline: 31 Oct 2025)
- Doctoral and postdoctoral positions and Young Research Group at Mathematics Münster (deadline: 31 Oct 2025)
- PhD Positions in Probability Theory and Analysis - Aarhus University, Denmark (deadline: 1 Nov 2025)
- Chapman Fellow in Mathematics (deadline: 11 Nov 2025)
- Postdoc position in Nancy (deadline: 10 Jan 2026)
Forthcoming Events
- 13 - 17 Oct 2025: Workshop "Optimal transport and metric geometry across structures" Bernoulli Center, EPFL, Lausanne
- 14 - 17 Oct 2025: Progress in modeling and analysis for nanomagnetism and related topics Centro di ricerca Matematica Ennio De Giorgi
- 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
- 23 - 24 Oct 2025: Celebration of Variations (on the occasion of Michael Struwe's 70th birthday) Università di Torino
- 24 - 24 Oct 2025: One Day on Variational Problems, on the occasion of Franco Tomarelli’s 70 birthday Milano
- 27 Oct - 5 Nov 2025: Lectures by Y. Tonegawa in Vienna Vienna
- 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
- 7 - 7 Nov 2025: Calculus of Variations & Geometric Analysis in Florence
- 27 - 28 Nov 2025: Analytic and geometric methods in PDEs
- 1 - 3 Dec 2025: Junior Math Days 2025 at SISSA SISSA, Trieste
- 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
- 19 - 21 Jan 2026: When CalcVar meets Siena Dipartimento di ingegneria dell'informazione e scienze matematiche, Siena
- 26 - 30 Jan 2026: ESI Workshop "Modelling Diffusive Systems: Theory & Biological Applications" (MoDiS) Vienna (Austria)
- 27 - 30 Jan 2026: Shape Optimization, Geometric Inequalities and Related Topics - III edition Naples
- 2 - 6 Feb 2026: Emerging Horizons in Geometric Spectral Theory: an ECRs workshop Isaac Newton Institute for Mathematical Sciences (INI), Cambridge
- 9 - 13 Feb 2026: XXXV Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 23 - 27 Feb 2026: Modern Methods in the Calculus of Variations Bonn, Germany
- 25 - 27 Feb 2026: Workshop on Gradient Structures University of Augsburg
- 9 - 13 Mar 2026: Spring School: Horizons in nonlinear PDEs Ulm
- 9 - 13 Mar 2026: Mathematical Fluid Mechanics and Related Topics on the occasion of Reinhard Farwig's 70th birthday Regensburg
- 20 - 23 Apr 2026: Valentia Geometrica 2026: a workshop on Geometric Analysis Universitat de València
- 26 - 29 May 2026: Perspectives in Applied Mathematics -- A conference in honor of Felix Otto’s 60th birthday University of Bonn
- 1 - 5 Jun 2026: Nonlinear Analysis, Function Spaces and Applications 13 (NAFSA 13) Prague, Czech Republic
- 8 - 12 Jun 2026: Geometric Analysis: Parabolic and Elliptic Methods KTH Stockholm
- 8 - 12 Jun 2026: International geometric analysis conference in Milan II Bocconi University, Milan, Italy
- 15 - 19 Jun 2026: 14th School on Analysis and Geometry in Metric Spaces Hotel Montana - Trento
- 21 - 27 Jun 2026: Modern Advances in Geometric Analysis - on the occasion of Piotr Hajłasz's 60th birthday Będlewo Conference Center, Będlewo, Poland
- 22 Jun - 3 Jul 2026: European School of Differential Geometry L'Aquila (Italy)
Recently Added Papers
- D. Bucur - G. Buttazzo - A. de Villeroché (Preprint)
Optimal domains for the Cheeger inequality (2025) - R. Kumar - A. Ortega (Accepted Paper: Zeitschrift für angewandte Mathematik und Physik)
Fractional critical systems with mixed boundary conditions (2025) - P. Ambrosio - S. Ciani (preprint)
Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations (2025) - S. Almi - M. Caponi - M. Friedrich - F. Solombrino (Preprint)
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits (2025) - S. Stuvard - Y. Tonegawa (preprint)
The epsilon-regularity theorem for Brakke flows near triple junctions (2025) - E. Bruè - M. Colombo - C. J. P. Johansson (preprint)
Lyapunov exponents, entropy and mixing for DiPerna-Lions flows (2025) - E. Caputo - N. Cavallucci (preprint)
A characterization of snowflakes via rectifiability (2025) - R. Scala (Preprint)
On the relaxation of polyconvex functionals with linear growth under strict convergence in BV (2025) - J. Ok - G. Scilla - B. Stroffolini (Preprint)
Partial regularity for parabolic systems of double phase type (2025) - G. David - C. Labourie (Preprint)
An existence theorem for sliding minimal sets (2025) - J. Deutsch (preprint)
A note on the recovery sequence in the double gradient model for phase transitions (2025) - F. Ferrari - D. Giovagnoli - E. M. Merlino (preprint)
On a fractional Alt-Caffarelli-Friedman-type monotonicity formula (2025) - D. Giovagnoli - D. Jesus - L. Silvestre (preprint)
$C^{1+α}$ regularity for fractional $p$-harmonic functions (2025) - C. Labourie - A. Lemenant (Preprint)
Finite number of traces for Mumford-Shah minimizers in dimension 2 (2025) - D. Barilari - E. Bellini - A. Pinamonti (Preprint)
Curvature measures and the sub-Riemannian Gauss-Bonnet theorem (2025) - A. De Rosa - R. Neumayer - R. Resende (Submitted Paper)
Rigidity of critical points of hydrophobic capillary functionals (2025) - G. Di Fratta - M. Innerberger - D. Praetorius - V. Slastikov (Preprint)
Energy minimization for skyrmions on planar thin films (2025) - A. Marchese (Proceedings)
A PDE perspective on the flat chain conjecture (2025) - E. Caputo - F. Nobili - T. Rossi (preprint)
Comparison estimates on nonsmooth spaces with integrable Ricci lower bounds via localization (2025) - J. Duran (preprint)
A survey on the resolvent convergence (2025) - E. Davoli - G. Di Fratta - R. Giorgio - A. Pinamonti (Preprint)
Necessary and Sufficient Conditions for the Mazya--Shaposhnikova Formula in (Fractional) Sobolev Spaces (2025) - S. Kryzhevich - E. Stepanov (Preprint)
Minimal points and non-holonomic controlability on compact manifolds (2025) - F. Cianci - B. Schmidt (Preprint)
Dimension reduction for time-dependent von Kármán rods (2025) - J. Hoeksema - R. Rossi - O. Tse (preprint)
Singular jump processes as generalized gradient flows (2025)
Recently Modified Papers
- D. Brazke - G. Götzmann - H. Knüpfer (Nonlinear Analysis)
$\Gamma$-Convergence of Higher-Order Phase Transition Models (2026) - A. Cosenza - M. Goldman - A. Zilio (Accepted Paper: Interfaces and Free Boundaries)
A $Γ$-convergence result for 2D type-I superconductors (2025) - R. Alicandro - A. Braides - M. Solci - G. Stefani (Math. Ann.)
Topological singularities arising from fractional-gradient energies (2025) - J. B. Casteras - L. Monsaingeon - F. Santambrogio (Journal de Mathématiques Pures et Appliquées)
Sticky-reflecting diffusion as a Wasserstein gradient flow (2025) - D. Carazzato - A. Pratelli - I. Topaloglu (Nonlinear Analysis)
Particle approximation of nonlocal interaction energies (2026) - J. Ginster - A. Ruland - A. Tribuzio - B. Zwicknagl (Annales de l'Institut Henri Poincaré C)
On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations (2025) - L. Bronsard - M. Novack (Preprint)
An Infinite Double Bubble Theorem (2024) - V. Arya - D. De Gennaro - A. Kubin (J. Differ. Equ.)
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus (2025) - I. Ftouhi - I. Lucardesi - G. Saracco (Accepted Paper: Commun. Contemp. Math.)
A reverse isoperimetric inequality for the Cheeger constant under width constraint (2025) - M. Bansil - A. R. Mészáros (Accepted Paper: Forum Math. Sigma)
Hidden monotonicity and canonical transformations for mean field games and master equations (2025) - N. Biswas - R. Kumar (Journal of Mathematical Analysis and Applications)
On semipositone problems over $\mathbb{R}^N$ for the fractional $p$-Laplace operator (2025) - R. Kumar - T. Mukherjee - A. Sarkar (Indian Journal of Pure and Applied Mathematics)
On a fractional system of NLS-KDV equations with Hardy potentials (2025) - A. Bach (Accepted Paper: Math. Eng.)
Emergence of topological and geometric defects in the $\Gamma$-limit of discrete energies (2025) - S. Almi - E. Davoli - A. Kubin - E. Tasso (Submitted Paper)
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case (2024) - L. Ambrosio - F. Renzi - F. Vitillaro (Nonlinear Analysis)
The superposition principle for local 1-dimensional currents (2026) - P. Cesana - E. Fabbrini - M. Morandotti (Journal of Elasticity)
Variational formulation of planar linearized elasticity with incompatible kinematics (2025) - M. Morandotti - G. Orlando (ESAIM: COCV)
Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification (2025) - A. Diana - N. Fusco - C. Mantegazza (Accepted Paper: Calc. Var. PDE)
Stability for the Surface Diffusion Flow (2023) - H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. PDE)
Bach-Flat Gradient Steady Ricci Solitons (2014) - L. Ambrosio - C. De Lellis - C. Mantegazza (Calc. Var. PDE)
Line Energies for Gradient Vector Fields in the Plane (1999) - C. Mantegazza - M. Pozzetta (Calc. Var. PDE)
The Lojasiewicz-Simon Inequality for the Elastic Flow (2021) - A. C. Barroso - J. Matias - M. Morandotti - D. R. Owen - E. Zappale (Accepted Paper: Indiana University Mathematics Journal)
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations (2025) - L. Nenna - P. Pegon - L. Tocquec (Preprint)
Convergence rates for regularized unbalanced optimal transport: the discrete case (2025) - D. Reggiani - C. I. Zeppieri (Preprint)
Stochastic homogenisation of strongly anisotropic degenerate integral functionals (2025) - J. Pozuelo - S. Verzellesi (Trans. Amer. Math. Soc.)
Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups (2025) - C. Gambicchia (preprint)
The double spherical cap rearrangement of planar sets (2025) - C. Gambicchia - A. Pratelli (Accepted Paper)
The sharp quantitative barycentric isoperimetric inequality for bounded sets (2024) - N. De Nitti - K. Huang (Preprint)
Asymptotically compatible entropy-consistent discretization for a class of nonlocal conservation laws (2025) - F. Bianchi - G. Stefani - A. C. Zagati (Nonlinear Anal.)
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodeckiĭ spaces (2026) - R. Continolo - V. Lorenzini - R. Scala - G. Scianna (Journal of Differential Equations)
Regularity and convergence of critical points of an Ambrosio-Tortorelli functional with linear growth and of its $\Gamma$-limit (2025) - A. Carbotti (Preprint)
The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities (2025)