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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

• 4 Postdoc and 12 PhD positions in the research group "Symplectic structures in geometry, algebra and dynamics" (deadline: 31 Jan 2021)
• Postdoc in varie aree - Trento (deadline: 1 Feb 2021)
• Research contract in Lisbon (deadline: 11 Feb 2021)
• Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2021)
• MathInParis2020 - Doctoral Training in Mathematical Sciences in Paris (deadline: 13 Feb 2021)
• 2-years postdoc position in Analysis at TU Munich (deadline: 28 Feb 2021)
• PhD student position at University of Groningen (deadline: 28 Feb 2021)
• Postdoctoral position at WWU Münster (Germany) (deadline: 15 Mar 2021)

Forthcoming Seminars

• 26 Jan 2021: F. Maggi: Soap films and capillarity theory
• 28 Jan 2021: E. Serra: NLS ground states on metric trees: existence results and open questions

Forthcoming Events

• 18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
• 22 - 26 Feb 2021: (Virtual) Winterschool on Analysis and Applied Mathematics Online
• 29 Mar - 2 Apr 2021: Research School "Shape Optimization, Spectral Geometry and Calculus of Variations" CIRM, Luminy, France
• 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

• C. Goodrich - G. Scilla - B. Stroffolini (Submitted Paper)
  Partial Hölder continuity for minimizers of discontinuous quasiconvex integrals with VMO coefficients and general growth (2021)
• D. Campbell - A. Kauranen - E. Radici (Submitted Paper)
  Classification of Strict limits of planar BV homeomorphisms (2021)
• E. Cinti - F. Glaudo - A. Pratelli - X. Ros-Oton - J. Serra (Preprint)
  Sharp quantitative stability for isoperimetric inequalities with homogeneous weights (2020)
• L. Benatti - M. Fogagnolo - L. Mazzieri (preprint)
  Minkowski Inequality on Asymptotically Conical manifolds (2021)
• E. Marconi (Preprint)
  Differentiability properties of the flow of 2d autonomous vector fields (2021)
• G. Dal Maso - R. Toader (Submitted Paper)
  On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials (2020)
• G. Catino (Preprint)
  Metrics of constant negative scalar-Weyl curvature (2021)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Submitted Paper)
  A global method for deterministic and stochastic homogenisation in BV (2021)
• L. Briani - G. Buttazzo - F. Prinari (Submitted Paper)
  A shape optimization problem on planar sets with prescribed topology (2021)
• N. Gigli - I. Y. Violo (preprint)
  Monotonicity formulas for harmonic functions in ${\rm RCD}(0,N)$ spaces (2021)
• P. D. Lamberti - I. Y. Violo (Math. Nachr.)
  On Stein's extension operator preserving Sobolev-Morrey spaces (2018)
• W. Borrelli - P. Briet - D. Krejcirik - T. Ourmieres-Bonafos (Submitted Paper)
  Spectral properties of relativistic quantum waveguides (2021)
• W. Borrelli - R. Carlone (Proceedings)
  Bifurcating standing waves for effective equations in gapped honeycomb structures (2021)
• C. Mantegazza - M. Pozzetta (Submitted Paper)
  Asymptotic convergence of evolving hypersurfaces (2021)
• M. Pozzetta (Ph.D. Thesis)
  Willmore-type Energies of Curves and Surfaces (2020)
• J. Lira - R. Mazzeo - A. Pluda - M. Saez (Preprint)
  Short-time existence for the network flow (2021)
• B. Bulanyi (Submitted Paper)
  On the importance of the connectedness assumption in the statement of the optimal $p$-compliance problem (2021)
• B. Bulanyi (Preprint)
  Partial regularity for the optimal $p$-compliance problem with length penalization (2021)
• T. Moisala - E. Pasqualetto (preprint)
  Direct limits of infinite-dimensional Carnot groups (2021)
• A. Julia - S. Nicolussi Golo - D. Vittone (preprint)
  Nowhere differentiable intrinsic Lipschitz graphs (2021)

Recently Modified Papers

• M. Santilli (Accepted Paper: Comm. Partial Differential Equations)
  Distance functions with dense singular sets (2021)
• A. Chambolle - M. Novaga (Accepted Paper: Ann. Scuola Normale Sup. Pisa)
  Anisotropic and crystalline mean curvature flow of mean-convex sets (2020)
• S. Daneri - E. Radici - E. Runa (Submitted Paper)
  Deterministic particle approximation of aggregation-diffusion equations on unbounded domains (2020)
• S. Fagioli - E. Radici (Kinetic and Related Models)
  Opinion formation system via deterministic particle approximation (2020)
• D. Campbell - A. Pratelli - E. Radici (Accepted Paper: Journal of Mathematical Analysis and Applications)
  Comparison between non-crossing and non-crossing on lines properties (2021)
• N. Fusco - A. Pratelli (COCV)
  Sharp stability for the Riesz potential (2020)
• M. Friedrich - M. Perugini - F. Solombrino (Journal of Functional Analysis)
  Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$ (2021)
• L. Brasco (Accepted Paper: Bruno Pini Math. Anal. Semin.)
  On principal frequencies and inradius in convex sets (2018)
• N. Ansini - S. Fagioli (Comm Math Sci.)
  Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation (2020)
• L. Brasco - D. Gómez-Castro - J. L. Vazquez (Submitted Paper)
  Characterisation of homogeneous fractional Sobolev spaces (2020)
• F. Prinari - M. Eleuteri (Nonlinear Analysis: RealWorld Applications)
  $Γ$-convergence for power-law functionals with variable exponents (2020)
• L. Briani - G. Buttazzo - F. Prinari (AMO)
  Some inequalities involving perimeter and torsional rigidity (2020)
• F. Cagnetti - A. Chambolle - M. Perugini - L. Scardia (J. Convex Anal.)
  An extension result for generalised special functions of bounded deformation (2021)
• F. Sapio (preprint)
  A dynamic model for viscoelasticity in domains with time-dependent cracks (2020)
• C. Mantegazza - M. Pozzetta (Accepted Paper: Calc. Var.)
  The Lojasiewicz-Simon Inequality for the Elastic Flow (2020)
• W. Borrelli - R. Carlone - L. Tentarelli (Journal of Differential Equations)
  On the nonlinear Dirac equation on noncompact metric graphs (2021)
• M. Degiovanni - D. Mazzoleni (Accepted Paper: J. London Math. Soc.)
  Optimization results for the higher eigenvalues of the $p$-Laplacian associated with sign-changing capacitary measures (2019)
• A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (Accepted Paper: Annali Mat. Pura e Appl.)
  Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type (2018)
• V. Magnani (Proc. Roy. Soc. Edinburgh Sect. A)
  On a measure-theoretic area formula (2015)
• G. M. Leccese - V. Magnani (Submitted Paper)
  A study of measure-theoretic area formulas (2020)
• C. De Lellis - M. Focardi - S. Ghinassi (Preprint)
  Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan (2020)
• A. Braides - V. Vallocchia (Accepted Paper: COCV)
  Two geometric lemmas for $S^{N-1}$-valued maps and an application to the homogenization of spin systems (2021)
• M. Carioni - A. Marchese - A. Massaccesi - A. Pluda - R. Tione (Nonlinear Anal.)
  The oriented mailing problem and its convex relaxation (2020)
• M. Carioni - A. Pluda (ESAIM Control Optim. Calc. Var.)
  Calibrations for minimal networks in a covering space setting (2020)
• H. Garcke - J. Menzel - A. Pluda (Comm. Partial Differential Equations)
  Long Time Existence of Solutions to an Elastic Flow of Networks (2020)