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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
- Postdoc position: Regularity and geometrical properties of solutions to PDEs (deadline: 22 Sep 2023)
- Full Professor for Geometry/Optimization at University of Salzburg (deadline: 24 Sep 2023)
- Postdoc position in Mathematics of Machine Learning, University of Würzburg (deadline: 30 Sep 2023)
- Lecturer/Senior Lecturer/Associate Professor position (deadline: 6 Oct 2023)
- Ph.D. Student or Postdoc Positions at University of Freiburg (deadline: 16 Oct 2023)
- Postdoc position in Analysis/Geometry at SISSA (Trieste, Italy) (deadline: 31 Oct 2023)
- Tenure track position in Analysis, University of Pittsburgh (deadline: 1 Nov 2023)
- Chapman Fellow at Imperial College London (deadline: 6 Nov 2023)
- Postdoctoral position in Analysis at UNIPD, Padova (deadline: 15 Nov 2023)
Forthcoming Events
- 28 May - 20 Dec 2023: ICMAT-UAM 2023 Thematic Period on PDEs “Diffusion, Geometry, Probability and Free Boundaries” Madrid
- 18 - 22 Sep 2023: Enjoying Probability and Fluids in Lausanne EPFL, Lausanne (Switzerland)
- 18 - 22 Sep 2023: Shape Optimization and Isoperimetric and Functional Inequalities Levico Terme (Italy)
- 20 - 22 Sep 2023: Guess what? A Pisan workshop in Geometric Analysis Centro De Giorgi (Pisa)
- 20 - 22 Sep 2023: Differential Geometry @L'AQuila 2023 L'Aquila
- 20 - 22 Sep 2023: Variational models for material failure FAU Erlangen-Nürnberg
- 25 - 26 Sep 2023: AMAED Fest 2023 Santander
- 29 - 29 Sep 2023: Brescia - Trento nonlinear day, 4° edition
- 4 - 6 Oct 2023: Conference on Trends in Analysis 2023 University of Duisburg-Essen, Campus Duisburg
- 5 - 5 Oct 2023: Calculus of Variations and Free Boundary Problems VI Aula Magna del Dipartimento di Matematica, Università di Pisa
- 8 - 13 Oct 2023: Marvellous Event on Geometric Analysis Będlewo
- 26 - 26 Oct 2023: XI Giornata MI-PV
- 30 Oct - 3 Nov 2023: Atlantic Conference in Nonlinear PDEs
- 6 - 10 Nov 2023: Recent advances in geometric analysis CIRM, Luminy
- 12 - 17 Nov 2023: Optimal Transport Theory and Hydrodynamics (from Euler to Monge and vice versa) Banach Center, Bedlewo, Poland
- 20 - 22 Nov 2023: Lavrentiev's phenomenon, approximation, and regularity Warsaw
- 12 - 12 Jan 2024: Kinetic integro-differential equations Parma
- 22 - 26 Jan 2024: Modeling, analysis, and control of multi-agent systems across scales Pisa: Centro De Giorgi
- 22 - 26 Jan 2024: New Trends in Nonlinear PDE's, Physics and Geometry Granada (Spain)
- 31 Jan - 2 Feb 2024: Calculus of Variations in Siena Siena, Department of information ingineering and mathematics
- 12 - 16 Feb 2024: XXXIII Convegno Nazionale di Calcolo delle Variazioni Riccione
- 27 - 29 May 2024: Shape Optimization, Geometric Inequalities and Related Topics – II Edition Sala del rettorato dell’Università del Salento, Lecce
- 24 - 28 Jun 2024: Second Vito Volterra Meeting in Calculus of Variations Department of Mathematics, Sapienza, Rome
Recently Added Papers
- R. Alicandro - A. Braides - M. Solci - G. Stefani (Submitted Paper)
Topological singularities arising from fractional-gradient energies (2023) - F. Giannetti - G. Stefani (Submitted Paper)
On the monotonicity of non-local perimeter of convex bodies (2023) - A. Nastasi - C. Pacchiano Camacho (CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS)
Regularity properties for quasiminimizers of a $(p,q)$-Dirichlet integral (2021) - J. Kinnunen - A. Nastasi - C. Pacchiano Camacho (Accepted Paper: Proceedings of the AMS)
Gradient higher integrability for double phase problems on metric measure spaces (2023) - A. Nastasi - C. Pacchiano Camacho (Journal of Differential Equations)
Higher integrability and stability of $(p,q)$-quasiminimizers (2022) - A. Nastasi - C. Pacchiano Camacho (preprint)
Regularity results for quasiminima of a class of double phase problems (2023) - L. Ferreri - B. Velichkov (preprint)
Regularity for one-phase Bernoulli problems with discontinuous weights and applications (2023) - M. Goering - A. Skorobogatova (Preprint)
Flat interior singularities for area almost-minimizing currents (2023) - M. Carducci (preprint)
Optimal regularity of the thin obstacle problem by an epiperimetric inequality (2023) - P. Pegon - M. Petrache (Preprint)
Optimal quantization with branched optimal transport distances (2023) - D. Cherkashin - F. Petrov (preprint)
Branching points in the planar Gilbert--Steiner problem have degree 3 (2023) - A. Braides - A. Causin - M. Solci - L. Truskinovsky (Accepted Paper: Archive for Rational Mechanics and Analysis)
Beyond the classical Cauchy-Born rule (2023) - A. Burchard - D. Carazzato - I. Topaloglu (preprint)
Maximizers of nonlocal interactions of Wasserstein type (2023) - L. Brasco - F. Prinari - F. Sk (Preprint)
On Morrey's inequality in Sobolev-Slobodeckij spaces (2023) - A. Carbonaro - L. Tamanini - D. Trevisan (preprint)
Boundedness of Riesz transforms on $RCD(K,\infty)$ spaces (2023) - D. Bazzana - M. Colturato - R. Savona (Finance Research Letters)
Learning about unprecedented events: Agent-based modelling and the stock market impact of COVID-19 (2023)
Recently Modified Papers
- A. Goffi (Accepted Paper: Journal de Mathématiques Pures et Appliquées)
High-order estimates for fully nonlinear equations under weak concavity assumptions (2023) - M. Novaga - F. Onoue (Communications in Contemporary Mathematics)
Local Hölder regularity of minimizers for nonlocal variational problems (2023) - A. Braides - A. Chambolle (Accepted Paper: Tunisian J. Math.)
Ising systems, measures on the sphere, and zonoids (2023) - N. Apollonio - D. De Canditiis - G. Franzina - P. Stolfi - G. L. Torrisi (Preprint)
Normal approximation of random Gaussian neural networks (2023) - G. Catino - D. D. Monticelli - A. Roncoroni (Accepted Paper: Adv. Math.)
On the critical p-Laplace equation (2023) - M. Cicalese - G. Orlando - M. Ruf (Comm. Pure Appl. Math.)
Emergence of concentration effects in the variational analysis of the N-clock model (2022) - M. Cicalese - G. Orlando - M. Ruf (Archive for Rational Mechanics and Analysis)
The N-clock model: variational analysis for fast and slow divergence rates of N (2022) - A. Bach - M. Cicalese - L. Kreutz - G. Orlando (Indiana Univ. Mat. J.)
The antiferromagnetic XY model on the triangular lattice: topological singularities (2022) - M. Cicalese - G. Orlando - M. Ruf (Nonlinear Analysis)
A classical $\mathbb{S}^2$ spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings (2023) - M. Cicalese - M. Forster - G. Orlando (Arch. Ration. Mech. anal.)
Variational analysis of the $J_1$-$J_2$-$J_3$ model: a non-linear lattice version of the Aviles-Giga functional (2022) - 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) - C. De Lellis - A. Skorobogatova (Preprint)
The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points (2023) - C. De Lellis - P. Minter - A. Skorobogatova (Preprint)
The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and $\mathcal{H}^{m-2}$-a.e. uniqueness of tangent cones (2023) - A. Corbo Esposito - L. Faella - G. Piscitelli - R. Prakash - A. Tamburrino
Monotonicity Principle in Tomography of Nonlinear Conducting Materials (2021) - M. Cicalese - L. Kreutz - G. P. Leonardi (Comm. Math. Phys.)
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (2023) - M. Bhakta - K. Perera - F. Sk (Accepted Paper: Advanced Nonlinear Studies)
A system of equations involving the fractional $p$-Laplacian and doubly critical nonlinearities (2023) - D. Cherkashin - Y. Teplitskaya - M. Basok (preprint)
Inverse maximal distance minimizer problem in a finite setup (2022) - G. Lazzaroni - R. Molinarolo - F. Riva - F. Solombrino (Interfaces Free Bound.)
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding (2022) - P. Gidoni - F. Riva (Calculus of Variations and Partial Differential Equations)
A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers (2021) - A. Pinamonti - S. Verzellesi - C. Wang (Bulletin of the London Mathematical Society)
The Aronsson Equation for Absolute Minimizers of Supremal Functionals in Carnot-Carathéodory Spaces (2022) - E. Parini - G. Saracco (Canad. Math. Bull.)
Optimization of the anisotropic Cheeger constant with respect to the anisotropy (2023) - M. Fornasier - G. Savaré - G. E. Sodini (Preprint)
Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces (2022) - G. E. Sodini (preprint)
The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities (2022) - D. Bartolucci - A. Jevnikar - R. Wu (Accepted Paper: Differential and Integral Equations)
On the global bifurcation diagram of the equation $-\Delta u=\mu|x|^{2\alpha}e^u$ in dimension two (2023) - M. Eleuteri - F. Prinari - E. Zappale (preprint)
Asymptotic analysis of thin structures with point dependent energy growth (2023) - N. Gigli - L. Tamanini (Proceedings: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
Second order differentiation formula on $RCD(K,N)$ spaces (2018) - I. Gentil - C. Léonard - L. Ripani - L. Tamanini (Stochastic Process. Appl.)
An entropic interpolation proof of the HWI inequality (2020) - N. Gigli - L. Tamanini (Probab. Theory Related Fields)
Benamou-Brenier and duality formulas for the entropic cost on $RCD^*(K,N)$ spaces (2020) - N. Gigli - L. Tamanini (J. Eur. Math. Soc. (JEMS))
Second order differentiation formula on $RCD^*(K,N)$ spaces (2021) - G. Conforti - L. Tamanini (J. Funct. Anal.)
A formula for the time derivative of the entropic cost and applications (2021) - M. Erbar - C. Rigoni - K. T. Sturm - L. Tamanini (J. Math. Pures Appl.)
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds (2022) - L. Tamanini (IEEE Transactions on Information Theory)
A generalization of Costa's Entropy Power Inequality (2022) - L. Monsaingeon - L. Tamanini - D. Vorotnikov (Adv. Math.)
The dynamical Schrödinger problem in abstract metric spaces (2023) - A. Chiarini - G. Conforti - G. Greco - L. Tamanini (Comm. Part. Differ. Equat.)
Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability (2023) - G. Carlier - P. Pegon - L. Tamanini (Calc. Var. Partial Differ. Equ.)
Convergence rate of general entropic optimal transport costs (2023) - A. Diana - N. Fusco - C. Mantegazza (Submitted Paper)
Stability for the Surface Diffusion Flow (2023) - G. Antonelli - E. Pasqualetto - M. Pozzetta - I. Y. Violo (Accepted Paper: Proc. R. Soc. Edinb., Sect. A, Math.)
Topological regularity of isoperimetric sets in PI spaces having a deformation property (2023) - M. Magnabosco - T. Rossi (Calc. Var. PDE)
Almost-Riemannian manifolds do not satisfy the $\mathsf{CD}$ condition (2023)