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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)

News

• 12 Jan 2022: Portugal-Italy Conference on Nonlinear Differential Equations and Applications

Open Positions

• Assistant/Associate Professor in Mathematics at Heriot-Watt University (2 positions) (deadline: 21 Jan 2022)
• Analysis of Equations in Fluid Dynamics (deadline: 25 Jan 2022)
• JVP positions at Centro de Giorgi (deadline: 25 Jan 2022)
• Postdoctoral positions at the CRM (Barcelona) (deadline: 31 Jan 2022)
• Postdoc in Oldenburg (spectral theory), 2 years (deadline: 31 Jan 2022)
• Postdoc positions in Barcelona (deadline: 31 Jan 2022)
• Three-year Postdoctoral position in Calculus of Variations & PDE, at TU Dortmund, Germany (deadline: 31 Jan 2022)
• Assistant/Associate Professor in Pure Mathematics at University of Nottingham (deadline: 3 Feb 2022)
• Post Doctorate Research Associate at Heriot-Watt University (2 years) (deadline: 7 Feb 2022)
• 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)
• Postdoctoral Researcher for Analysis of Quasilinear Parabolic PDEs (deadline: 13 Feb 2022)
• Research project on Optimal Transportation (deadline: 31 Dec 2022)

Forthcoming Events

• 17 - 21 Jan 2022: Workshop on The Mathematics of Machine Learning [POSTPONED] Pisa: Centro De Giorgi
• 28 - 28 Jan 2022: One day in double phase problems in Ancona Online on Zoom platform
• 16 - 18 Feb 2022: PDEs in presence in Rome 2022 Rome
• 21 - 25 Feb 2022: Free Boundary Problems and Related Evolution Equations Erwin Schrödinger Institute (ESI), Vienna, Austria
• 28 Feb - 4 Mar 2022: LMS Invited Lecture Series on the Mathematics of Deep Learning Isaac Newton Institute, Cambridge, UK
• 28 Mar - 1 Apr 2022: Geometry and Control in Florence
• 4 - 8 Apr 2022: Hausdorff School: “Diffusive Systems - part II” Bonn (Germany)
• 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
• 16 - 22 May 2022: Calculus of Variations-Back to Carthage Carthage
• 16 - 20 May 2022: Beyond Elasticity: Advances and Research Challenges Luminy, France
• 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
• 13 - 18 Jun 2022: 20 years of Summer Schools on CalcVar in Rome Department of Mathematics, Sapienza, Rome
• 20 - 24 Jun 2022: Lake Como School of Advanced Studies in Mathematical Models for Bio-Medical Sciences Como
• 27 - 29 Jun 2022: Young Women in Geometric Analysis Bonn, Germany
• 27 Jun - 1 Jul 2022: 18th School on Interactions Between Dynamical Systems and Partial Differential Equations (JISD2022) Barcelona
• 4 - 6 Jul 2022: Calculus of Variations in Lille - 3rd edition Lille, France
• 4 - 6 Jul 2022: Portugal-Italy Conference on Nonlinear Differential Equations and Applications Évora, Portugal
• 18 - 22 Jul 2022: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
• 12 - 16 Sep 2022: Summerschool on Analysis and Applied Mathematics Münster
• 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

Recently Added Papers

• A. Kroshnin - E. Stepanov - D. Trevisan (Preprint)
  Infinite multidimensional scaling for metric measure spaces (2022)
• G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Preprint)
  Sharp isoperimetric comparison and asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds (2022)
• S. Borza (The Journal of Geometric Analysis)
  Distortion Coefficients of the $\alpha$-Grushin Plane (2022)
• D. De Gennaro - A. Kubin (preprint)
  Long Time Behaviour of the Discrete Volume Preserving Mean Curvature Flow in the Flat Torus (2022)
• F. Bagagiolo - L. Marzufero (Preprint)
  A time-dependent switching mean-field game on networks motivated by optimal visiting problems (2021)
• M. Goldman - M. Novaga - B. Ruffini (Submitted Paper)
  Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion (2022)
• G. Dal Maso - R. Toader (Submitted Paper)
  A new space of generalised functions with bounded variation motivated by fracture mechanics (2022)
• G. Antonelli - S. Nardulli - M. Pozzetta (Preprint)
  The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds (2022)
• L. Brasco - E. Lindgren (Preprint)
  Uniqueness of extremals for some sharp Poincaré-Sobolev constants (2022)
• D. Castorina - G. Catino - C. Mantegazza (Submitted Paper)
  Semilinear Li & Yau inequalities (2022)
• P. Marcellini - E. Paolini (Accepted Paper: Imagine Math)
  Origami and fractal solutions of differential systems (2022)
• A. Braides - M. Solci (Lecture Notes: Birkhäuser Pathways of Mathematics)
  Geometric Flows on Planar Lattices (2021)
• L. Nenna - B. Pass (Preprint)
  Transport type metrics on the space of probability measures involving singular base measures (2022)

Recently Modified Papers

• D. Bourne - C. Egan - B. Pelloni - M. Wilkinson (Calculus of Variations and Partial Differential Equations)
  Semi-discrete optimal transport methods for the semi-geostrophic equations (2022)
• C. Rigoni - E. Stepanov - D. Trevisan (Accepted Paper: J. London Math. Soc.)
  Lie brackets of nonsmooth vector fields and commutation of their flows (2020)
• G. Bellettini - R. Marziani - R. Scala (Submitted Paper)
  A non-parametric Plateau problem with partial free boundary (2021)
• C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)
  Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (2021)
• D. King - F. Maggi - S. Stuvard (Arch. Ration. Mech. Anal.)
  Smoothness of collapsed regions in a capillarity model for soap films (2022)
• D. King - F. Maggi - S. Stuvard (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Collapsing and the convex hull property in a soap film capillarity model (2021)
• C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Comm. Pure Appl. Math.)
  Area minimizing currents mod $2Q$: linear regularity theory (2022)
• D. King - F. Maggi - S. Stuvard (Comm. Pure Appl. Math.)
  Plateau's problem as a singular limit of capillarity problems (2020)
• A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Accepted Paper: Communications in Analysis and Geometry)
  A quantitative dimension free isoperimetric inequality for the Fractional Gaussian Perimeter (2022)
• S. Almi - E. Tasso (Advances in Calculus of Variations)
  A new proof of compactness in G(S)BD (2022)
• S. Almi - E. Tasso (Proceedings of the Royal Society of Edinburgh)
  Brittle fracture in linearly elastic plates (2021)
• M. Novaga - E. Paolini - E. Stepanov - V. M. Tortorelli (Submitted Paper)
  Isoperimetric clusters in homogeneous spaces via concentration compactness (2021)
• L. De Luca - M. Novaga - M. Ponsiglione (Ann. Scuola Normale Sup. Pisa)
  The $0$-fractional perimeter between fractional perimeters and Riesz potentials (2021)
• R. Resende de Oliveira (Accepted Paper: Journal of Dynamical and Control Systems)
  On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry (2022)
• F. Bagagiolo - A. Festa - L. Marzufero (IFAC-PapersOnLine)
  A hybrid control framework for an optimal visiting problem (2021)
• F. Bagagiolo - A. Festa - L. Marzufero (IFAC-PapersOnLine)
  The orienteering problem: a hybrid control formulation (2021)
• F. Bagagiolo - A. Festa - L. Marzufero (Nonlinear Differential Equations and Applications)
  Hybrid control for optimal visiting problems for a single player and for a crowd (2022)
• P. Bonicatto - G. Del Nin - E. Pasqualetto (J. Funct. Anal.)
  Decomposition of integral metric currents (2022)
• M. Friedrich - M. Perugini - F. Solombrino (Accepted Paper: Indiana University Mathematics Journal)
  $Γ$-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation (2022)
• M. Goldman - M. Novaga - B. Ruffini (Proc. Amer. Math. Soc.)
  Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions (2022)
• S. Nardulli - A. Enrique Muñoz Flores (Journal of Dynamical and Control Systems)
  Generalized compactness for finite perimeter sets and applications to the isoperimetric problem (2022)
• M. Colombo - A. De Rosa - A. Marchese (Calc. Var. Partial Differential Equations)
  Improved stability of optimal traffic paths (2018)
• G. De Philippis - A. De Rosa - F. Ghiraldin (Comm. Pure App. Math.)
  Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies (2018)
• C. De Lellis - A. De Rosa - F. Ghiraldin (Adv. Calc. Var.)
  A direct approach to the anisotropic Plateau's problem (2018)
• A. De Rosa (SIAM J. Math. Anal.)
  Minimization of anisotropic energies in classes of rectifiable varifolds (2018)
• G. De Philippis - A. De Rosa - F. Ghiraldin (Adv. in Math.)
  A direct approach to Plateau's problem in any codimension (2016)
• A. De Rosa - S. Gioffrè (J. Geom. Anal.)
  Quantitative stability for anisotropic nearly umbilical hypersurfaces (2019)
• M. Colombo - A. De Rosa - A. Marchese (J. Math. Pures Appl.)
  Stability for the mailing problem (2019)
• G. De Philippis - A. De Rosa - F. Ghiraldin (J. Geom. Anal.)
  Existence results for minimizers of parametric elliptic functionals (2020)
• A. De Rosa - S. Kolasiński (Comm. Pure App. Math.)
  Equivalence of the ellipticity conditions for geometric variational problems (2020)
• A. De Rosa - S. Kolasiński - M. Santilli (Arch. Ration. Mech. Anal.)
  Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets (2020)
• M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff (Discrete Contin. Dyn. Syst.)
  Stability of optimal traffic plans in the irrigation problem (2021)
• A. De Rosa - S. Gioffrè (J. Reine Angew. Math.)
  Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces (2021)
• M. Colombo - A. De Rosa - A. Marchese (Comm. Pure App. Math.)
  On the well-posedness of branched transportation (2021)
• A. De Rosa - D. A. La Manna (Comm. Pure Appl. Anal.)
  A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties (2021)
• G. Antonelli - D. Di Donato - S. Don - E. Le Donne (Accepted Paper: Annales de l'Institut Fourier)
  Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups (2020)
• G. Antonelli - E. Le Donne (Accepted Paper: Annali di Matematica Pura ed Applicata (1923 - ))
  Polynomial and horizontally polynomial functions on Lie groups (2020)
• A. Braides - A. Piatnitski (Arch. Rational Mech. Anal.)
  Homogenization of ferromagnetic energies on Poisson random sets in the plane (2022)
• A. Bach - T. Esposito - R. Marziani - C. I. Zeppieri (Accepted Paper: AWM Volume - Research in the Mathematics of Materials Science)
  Interaction between oscillations and singular perturbations in a one-dimensional phase-field model (2022)
• F. Giannetti - G. Stefani (Submitted Paper)
  On the convex components of a set in $\mathbb{R}^n$ (2021)
• A. Cesaroni - M. Novaga (Accepted Paper: Manuscripta Mathematica)
  Fractional mean curvature flow of Lipschitz graphs (2021)
• L. Dello Schiavo - L. Portinale - F. Sau (preprint)
  Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains (2021)
• L. Freddi - P. Hornung - M. G. Mora - R. Paroni (Submitted Paper)
  Stability of boundary conditions for the Sadowsky functional (2021)
• C. De Lellis (Proceedings)
  The regularity theory for the area functional (in geometric measure theory) (2021)
• A. C. G. Mennucci (International Journal of Mathematics and Mathematical Sciences)
  Neighborhoods and manifolds of immersed curves (2021)
• M. Bresciani - M. Kruzik (Submitted Paper)
  A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity (2021)
• M. Bresciani (Mathematical Models and Methods in Applied Sciences)
  Linearized von Kármán theory for incompressible magnetoelastic plates (2021)
• M. Bresciani - E. Davoli - M. Kruzik (Accepted Paper: Annales de l'Institut Henri Poincaré / Analyse Nonlinéaire)
  Existence results in large-strain magnetoelasticity (2021)
• D. Albritton - E. Bruè - M. Colombo - C. De Lellis - V. Giri - M. Janisch - H. Kwon (Submitted Paper)
  Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik (2021)
• I. Ftouhi (Comptes Rendus de l’Académie des Sciences)
  On a Polya's inequality for planar convex sets (2021)
• J. F. Babadjian - F. Iurlano - A. Lemenant (Accepted Paper: J. Eur. Math. Soc.)
  Partial regularity for the crack set minimizing the two-dimensional Griffith energy (2019)
• M. Bonacini - S. Conti - F. Iurlano (Accepted Paper: Arch. Ration. Math. Anal.)
  Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models (2020)
• J. F. Babadjian - F. Iurlano - F. Rindler (Accepted Paper: Duke Math. J.)
  Shape optimization of light structures and the vanishing mass conjecture (2021)
• V. Buffa - M. Miranda Jr (Annales Fennici Mathematici)
  Rough traces of $BV$ functions in metric measure spaces (2021)
• V. Buffa - G. E. Comi - M. Miranda Jr (Rev. Mat. Iberoamericana)
  On $BV$ functions and essentially bounded divergence-measure fields in metric spaces (2021)
• V. Buffa - M. Collins - C. Pacchiano Camacho (Manuscripta Math.)
  Existence of parabolic minimizers to the total variation flow on metric measure spaces (2022)
• F. Ancona - A. Bressan - M. T. Chiri (Submitted Paper)
  Soil searching by an artificial root (2020)
• A. Bressan - M. T. Chiri - N. Salehi (Accepted Paper: Math. Models & Methods in the Applied Sciences)
  On the Optimal Control of Propagation Fronts (2021)
• C. D'Onofrio - C. I. Zeppieri (Accepted Paper: Proc. Roy. Soc. Edinburgh Section A)
  $\Gamma$-convergence and stochastic homogenisation of degenerate integral functionals in weighted Sobolev spaces (2022)