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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

• PhD position, Marie Curie Network TraDE-Opt, University of Graz (deadline: 17 Mar 2021)
• Post-doc at the University of Firenze (deadline: 30 Mar 2021)
• 5-10 Postdoctoral and 1-2 Ph.D. student positions at Jyväskylä (deadline: 31 Mar 2021)
• 2-years postdoc position in Analysis at Bocconi University, Milan (deadline: 31 Mar 2021)
• PhD position in spectral theory of differential operators, Oldenburg (deadline: 7 May 2021)
• Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China (deadline: 11 Feb 2022)
• Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2022)

Forthcoming Seminars

• 9 Mar 2021: D. Vittone: Differentiability of intrinsic Lipschitz graphs in Carnot groups
• 18 Mar 2021: I. Lucardesi: Shape optimization in the class of bodies of constant width.
• 15 Apr 2021: R. Scala: Nonlocality features of the area functional and the Plateau problem

Forthcoming Events

• 18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
• 22 - 23 Mar 2021: Nonlinear Meeting 2021 Online
• 29 Mar - 2 Apr 2021: Research School "Shape Optimization, Spectral Geometry and Calculus of Variations" CIRM, Luminy, France
• 8 - 8 Apr 2021: Online Poster Session "Young Researchers in PDE and Geometric Analysis" Online
• 12 - 16 Apr 2021: Optimization of shape and material properties: advanced mathematical methods and 3D printing CISM, Udine
• 12 - 16 Apr 2021: Hausdorff School: “Diffusive Systems” Bonn
• 19 - 21 May 2021: ''Workshop on $L^\infty$ and constrained variational problems''. Online
• 7 - 11 Jun 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
• 21 - 25 Jun 2021: Tenth Summer School in Analysis and Applied Mathematics Dipartimento di Matematica - Sapienza, Università di Roma
• 28 Jun - 2 Jul 2021: Como Lake School Mathematical Models for Bio-Medical Sciences moved to 2021 Villa del Grumello, Como
• 5 - 9 Jul 2021: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
• 1 - 31 Aug 2021: Jyväskylä Summer School Jyväskylä, Finland
• 20 Sep - 17 Dec 2021: Distributed Solutions to Complex Societal Problems University of Chicago, USA
• 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
• 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
• 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

Recently Added Papers

• G. Bellettini - A. Elshorbagy - R. Scala (Preprint)
  The $L^1$-relaxed area of the graph of the vortex map (2021)
• N. Fusco - M. Morini (Submitted Paper)
  Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (2021)
• N. De Nitti - F. Hounkpe - S. Schulz (Submitted Paper)
  On Liouville-type theorems for the 2D stationary MHD equations (2021)
• G. Di Fratta - A. Fiorenza (Preprint)
  A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev Spaces (2021)
• I. Y. Violo (preprint)
  A remark on two notions of flatness for sets in the Euclidean space (2021)
• L. De Luca - A. Kubin - M. Ponsiglione (Preprint)
  Convergence of supercritical fractional flows to the mean curvature flow (2021)
• D. Bucur - I. Fragalà (preprint)
  Rigidity for measurable sets (2021)
• Y. Brenier - W. Gangbo - G. Savaré - M. Westdickenberg (preprint)
  Sticky particle dynamics with interactions (2012)
• J. Dolbeault - B. Nazaret - G. Savaré (preprint)
  A new class of transport distances (2008)
• G. Savaré (preprint)
  Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,\infty) metric measure spaces (2013)
• G. Savaré - G. Toscani (preprint)
  The concavity of Rènyi entropy power (2012)
• M. Liero - A. Mielke - G. Savaré (preprint)
  Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves (2015)
• M. Liero - A. Mielke - G. Savaré (preprint)
  Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures (2015)
• G. Savaré (preprint)
  Sobolev spaces in extended metric-measure spaces (2019)
• E. Pasqualetto - T. Schultz (preprint)
  Ultralimits of pointed metric measure spaces (2021)
• J. F. Babadjian - F. Iurlano - F. Rindler (preprint)
  Shape optimization of light structures and the vanishing mass conjecture (2021)

Recently Modified Papers

• A. Maione - A. M. Salort - E. Vecchi (Accepted Paper: Asymptotic Analysis)
  Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces (2021)
• M. Capolli - A. Maione - A. M. Salort - E. Vecchi (The Journal of Geometric Analysis)
  Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups (2021)
• A. Braides - V. Chiadò Piat - L. D'Elia (Nonlinear Analysis)
  An extension theorem from connected sets and homogenization of non-local functionals (2021)
• C. De Lellis - M. Focardi - S. Ghinassi (Accepted Paper: J. Math. Pures Appl.)
  Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan (2020)
• G. Scilla - F. Solombrino (NoDEA Nonlinear Differential Equations Appl.)
  Non-local approximation of the Griffith functional (2021)
• E. Paolini - V. M. Tortorelli (Calc. Var.)
  The quadruple planar bubble enclosing equal areas is symmetric (2020)
• H. Kröner - M. Novaga - P. Pozzi (Accepted Paper: Milan J. Math.)
  Anisotropic curvature flow of immersed networks (2020)
• I. Mazari (Preprint)
  Quantitative estimates for parabolic optimal control problems under L∞ and L1 constraints in the ball: Quantifying parabolic isoperimetric inequalities (2021)
• A. Cesaroni - V. Pagliari (Accepted Paper: Discrete & Continuous Dynamical Systems - A)
  Convergence of nonlocal geometric flows to anisotropic mean curvature motion (2021)
• F. Cavalletti - F. Santarcangelo (J. Funct. Anal.)
  Isoperimetric inequality under Measure-Contraction property (2018)
• A. Akdemir - F. Cavalletti - A. Colinet - R. J. McCann - F. Santarcangelo (Accepted Paper: Trans. Amer. Math. Soc.)
  Independence of synthetic Curvature Dimension conditions on transport distance exponent (2020)
• F. Cavalletti - N. Gigli - F. Santarcangelo (Accepted Paper: Annales de la faculté des sciences de Toulouse)
  Displacement convexity of Entropy and the distance cost Optimal Transportation (2020)
• F. Cavalletti - E. Milman (Accepted Paper: Inventiones Math.)
  The Globalization Theorem for the Curvature Dimension Condition (2016)
• B. Bulanyi - A. Lemenant (Reviewed version)
  Regularity for the planar optimal $p$-compliance problem (2021)