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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

News

• 18 Feb 2020: assegno di ricerca
• 18 Feb 2020: Scuola Estiva "Geometric flows" ad Atene

Open Positions

• PhD researcher on control and reinforcement learning in stochastic processes (deadline: 28 Feb 2020)
• PhD in Bilbao (deadline: 28 Feb 2020)
• PhD in PDE analysis, TU Delft (deadline: 29 Feb 2020)
• Tenure-Track Assistant Professor in Mathematical Analysis - Bocconi University, Milan (deadline: 29 Feb 2020)
• RtdA at University of Milan (deadline: 6 Mar 2020)
• PhD student positions at Imperial College London (deadline: 15 Jan 2021)
• Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2021)

Forthcoming Seminars

• 26 Feb 2020: L. Lussardi: Soap films spanning elastic boundaries
• 4 Mar 2020: M. Kowalczyk: Doubling construction for $O(m)\times O(n)$ invariant solutions to the Allen-Cahn equation
• 1 Apr 2020: F. Rindler: TBA

Forthcoming Events

• 23 - 27 Mar 2020: Geometric Variational Problems University Ulm
• 13 - 15 May 2020: UCLouvain 2020 Workshop on Calculus of Variations Louvain-la-Neuve, Belgium
• 18 - 22 May 2020: Workshop on Nonlinear PDEs & Applications Protaras, Cyprus
• 18 - 22 May 2020: Optimization of shape and material properties: advanced mathematical methods and 3D printing CISM, Udine
• 19 - 23 May 2020: Mini Courses: Sub-Riemannian Geometry and Beyond, III. A gist on Lie groups in Pisa Pisa: Centro De Giorgi
• 25 - 29 May 2020: Conference: Sub-Riemannian Geometry and Beyond, III. A gist on Lie groups in Pisa Pisa: Centro De Giorgi
• 25 - 28 May 2020: irst Edinburgh-Vienna workshop on advances in PDEs ICMS Edinburgh
• 25 - 29 May 2020: Mostly Maximum Principle Cortona
• 26 May - 5 Jun 2020: Summer Program in PDE 2020 University of Texas at Austin
• 28 - 29 May 2020: Workshop on $L^\infty$ and constrained variational problems Salerno, Chiesa di Santa Maria de' Lama
• 3 - 5 Jun 2020: Phase Transformations, Incompatibility and Microstructure Dipartimento di Matematica - Università di Roma "Tor Vergata"
• 8 - 12 Jun 2020: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
• 17 - 17 Jun 2020: Milano-Torino Geometry & Analysis Seminar - II Dipartimento di Scienze Matematiche "G. L. Lagrange", Politecnico di Torino
• 24 - 26 Jun 2020: Nonlinear PDEs and Applications - on the occasion of Michiel Bertsch's 65th birthday Rome (Sapienza and CNR Main Building)
• 29 Jun - 2 Jul 2020: Advanced Variational Methods for Solid Mechanics Udine
• 13 - 17 Jul 2020: Tenth Summer School in Analysis and Applied Mathematics Dipartimento di Matematica - Sapienza, Università di Roma
• 17 - 21 Aug 2020: Jyväskylä Summer School Jyväskylä, Finland
• 7 - 9 Sep 2020: Free Boundary Problems and Related Evolution Equations Department of Mathematics, University of Vienna, Austria
• 7 - 11 Sep 2020: SRGI conference: Sub-Riemannian Geometry and Interactions Sorbonne Université, Faculté Pierre et Marie Curie (4 place Jussieu, Paris)
• 14 - 18 Sep 2020: Geometric Measure Theory and Geometric Analysis in Moscow

Recently Added Papers

• X. Fernández-Real - A. Figalli (Accepted Paper: Mathematics in Engineering)
  On the obstacle problem for the 1D wave equation (2020)
• M. Friedrich - M. Perugini - F. Solombrino (Submitted Paper)
  Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$ (2020)
• A. Goffi (Submitted Paper)
  Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group (2020)
• D. King - F. Maggi - S. Stuvard (Preprint)
  Collapsing and the convex hull property in a soap film capillarity model (2020)
• G. E. Comi (Ph.D. Thesis)
  Refined Gauss-Green formulas and evolution problems for Radon measures (2020)
• F. Fleißner (Submitted Paper)
  A Minimizing Movement approach to a class of scalar reaction-diffusion equations (2020)
• L. Dufloux (Preprint)
  Radial projections along chains (2019)
• L. Dufloux (Journal of Fractal Geometry)
  The case of equality in the dichotomy of Mohammadi-Oh (2019)
• L. Dufloux - V. Suomala (Preprint)
  Projections of Poisson cut-outs in the Heisenberg group and the visual 3-sphere (2018)
• M. Cirant - A. Goffi (Preprint)
  On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations (2020)

Recently Modified Papers

• M. Capolli - A. Maione - A. M. Salort - E. Vecchi (Accepted Paper: The Journal of Geometric Analysis)
  Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups (2020)
• A. Maione - E. Vecchi (Analysis and Geometry in Metric Spaces)
  Integral representation of local left--invariant functionals in Carnot groups (2019)
• A. Maione (Submitted Paper)
  $H$-convergence for equations depending on monotone operators in Carnot groups (2019)
• R. Cristoferi - G. Gravina (Submitted Paper)
  Sharp interface limit of a multi-phase transitions model under nonisothermal conditions (2020)
• F. Corni - V. Magnani (Submitted Paper)
  Area formula for regular submanifolds of low codimension in Heisenberg groups (2020)
• L. Brasco - E. Lindgren - M. Stromqvist (Submitted Paper)
  Continuity of solutions to a nonlinear fractional diffusion equation (2019)
• L. Brasco - E. Cinti - S. Vita (Submitted Paper)
  A quantitative stability estimate for the fractional Faber-Krahn inequality (2019)
• E. Paolini - V. M. Tortorelli (Calc. Var.)
  The quadruple planar bubble enclosing equal areas is symmetric (2020)
• V. Chousionis - V. Magnani - J. T. Tyson (Accepted Paper: Adv. Math.)
  On uniform measures in the Heisenberg group (2020)
• G. E. Comi - V. Magnani (Adv. Math.)
  The Gauss-Green theorem in stratified groups (2020)
• J. Matias - M. Morandotti - D. R. Owen - E. Zappale (Preprint)
  Upscaling and spatial localization of non-local energies with persistent nonlinearities (2020)
• M. Goldman - M. Novaga - M. Röger (Proc. Roy. Soc. Edinburgh Sect. A)
  Quantitative estimates for bending energies and applications to non-local variational problems (2020)
• L. Nenna - B. Pass (Accepted Paper: Journal de Mathématiques Pures et Appliquées)
  Variational problems involving unequal dimensional optimal transport (2020)
• G. E. Comi - K. R. Payne (Adv. Calc. Var.)
  On locally essentially bounded divergence measure fields and sets of locally finite perimeter (2017)
• S. Piontek - T. Schmidt (ESAIM, Control Optim. Calc. Var.)
  Higher integrability for the gradient of Mumford-Shah almost-minimizers (2020)
• A. Pratelli - G. Saracco (Rev. Mat. Iberoam.)
  On the generalized Cheeger problem and an application to 2d strips (2017)
• A. Pratelli - G. Saracco (Nonlinear Anal.)
  On the isoperimetric problem with double density (2018)
• G. P. Leonardi - G. Saracco (NoDEA Nonlinear Differential Equations Appl.)
  The prescribed mean curvature equation in weakly regular domains (2018)
• G. P. Leonardi - G. Saracco (Ann. Mat. Pura Appl. (4))
  Two examples of minimal Cheeger sets in the plane (2018)
• M. Novaga - P. Pozzi (SIAM J. Math. Anal.)
  A second order gradient flow of $p$-elastic planar networks (2020)
• F. Fleißner - G. Savaré (Accepted Paper: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
  Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi (2017)
• F. Fleißner (ESAIM:COCV)
  $\Gamma$-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach (2016)
• N. De Ponti (Accepted Paper: IEEE Transactions on Information Theory)
  Metric properties of homogeneous and spatially inhomogeneous F-divergences (2019)
• G. P. Leonardi - G. Saracco (Adv. Calc. Var.)
  Rigidity and trace properties of divergence-measure vector fields (2020)
• A. Pratelli - G. Saracco (Adv. Nonlinear Stud.)
  The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets (2020)
• S. Kholmatov - P. Piovano (Submitted Paper)
  A unified model for stress-driven rearrangement instabilities (2019)
• M. Caponi (Accepted Paper: NoDEA Nonlinear Differential Equations Appl.)
  Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation (2020)
• B. Han (Preprint)
  Rigidity of some functional inequalities on ${\rm RCD}$ spaces (2020)
• N. De Ponti - A. Mondino (The Journal of Geometric Analysis)
  Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces (2020)
• A. Mondino - C. Scharrer (Archive for Rational Mechanics and Analysis)
  Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy (2020)