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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 in Infinite-Dimensional Optimization for Theoretical Machine Learning (deadline: 10 Jul 2022)
• RTDA Universita' di Bologna (deadline: 19 Jul 2022)
• Ph.D. positions at the Universities of Ferrara, Parma, Modena & Reggio-Emilia (deadline: 25 Jul 2022)
• Positions for Ukrainian researchers in Austria (deadline: 31 Jul 2022)
• PA MAT/05, riservato a esterni dipartimento di matematica unipi (deadline: 1 Aug 2022)
• 4 years PhD position at TU Wien (Vienna, Austria) (deadline: 11 Aug 2022)
• 7 PhD positions in "Mathematical and Physical Sciences for Advanced Materials and Technologies" at the SSM of Napoli (deadline: 24 Aug 2022)
• 2-year postdoc position Institute of Information Theory and Automation, Czech Acad. Sci (deadline: 31 Aug 2022)
• PhD position funded by the Italian national Doctoral program in Autonomous Systems (DAUSY) (deadline: 5 Sep 2022)
• PhD Positions in the field Nonlinear PDEs (Analysis or Numerics) Graduate School IntComSin Erlangen-Regensburg (deadline: 30 Nov 2022)
• Research project on Optimal Transportation (deadline: 31 Dec 2022)

Forthcoming Seminars

• 20 Jul 2022: C. Bellettini: Hypersurfaces with prescribed-mean-curvature: existence and properties

Forthcoming Events

• 2 May - 18 Jul 2022: TopMath online Seminars in Analysis by Antoine Gloria
• 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
• 4 - 8 Jul 2022: Summer School in Analysis and PDE Caserta - Italy
• 4 - 6 Jul 2022: Durham Days of Analysis and PDEs - (online) Summer School Durham, UK (online)
• 4 - 8 Jul 2022: Mean Curvature Flow and Related Topics Queen Mary University of London
• 20 - 22 Jul 2022: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2022 Grenoble
• 8 - 12 Aug 2022: Hausdorff School on Geometric Analysis and Nonlinear Partial Differential Equations University of Bonn
• 8 - 10 Aug 2022: Geometric measure theory and analysis on metric spaces University of Warwick
• 21 Aug - 2 Sep 2022: workshop in Benasque Benasque (Spain)
• 28 Aug - 2 Sep 2022: Interdisciplinary Summer School on Surfaces Frauenchiemsee, Germany
• 29 - 31 Aug 2022: Three days between Analysis and Geometry in Trento Trento
• 29 Aug - 2 Sep 2022: Summer School on "Heat Kernels and Geometry: From Manifolds to Graphs" Bregenz (Austria)
• 5 - 9 Sep 2022: Anisotropic isoperimetric problems & related topics Roma
• 5 - 9 Sep 2022: Workshop: Nouniformyl elliptic problems IMPAN, Warsaw, Poland
• 6 - 9 Sep 2022: Workshop "Nonlinear evolutionary equations and applications" TU Chemnitz, Germany
• 6 - 7 Sep 2022: Optimal Transport and Uncertanity - second edition Università di Napoli Federico II
• 8 - 8 Sep 2022: A day in elliptic and parabolic PDEs to celebrate Daniela Giachetti "Sapienza" University of Rome
• 8 - 9 Sep 2022: NonPUB - Nonlocal and Nonlinear PDEs at the University of Bologna Bologna
• 12 - 16 Sep 2022: Summerschool on Analysis and Applied Mathematics Münster
• 12 - 14 Sep 2022: FREE BOUNDARY PROBLEMS IN BIOLOGY AND FLUID DYNAMICS Santander
• 12 - 14 Sep 2022: Fall workshop on nonlinear and nonlocal PDEs Universidad Autonoma de Madrid, Madrid
• 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh
• 26 - 30 Sep 2022: Summer School: Horizons in non-linear PDEs Ulm (Germany)
• 26 - 30 Sep 2022: Asymptotic analysis and spectral theory (Aspect'22) Oldenburg (Germany)
• 27 - 31 Mar 2023: Geometry and Control in Florence

Recently Added Papers

• M. Caroccia - G. Saracco (Submitted Paper)
  Isoperimetric sets and $p$-Cheeger sets are in bijection (2022)
• P. Lahti - A. Pinamonti - X. Zhou (Submitted Paper)
  A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces (2022)
• S. Conti - A. Garroni - R. Marziani (Preprint)
  Line-tension limits for line singularities and application to the mixed-growth case (2022)
• M. Bonacini - R. Cristoferi - I. Topaloglu (Submitted Paper)
  Stability of the ball for attractive-repulsive energies (2022)
• U. Menne - C. Scharrer (preprint)
  A priori bounds for geodesic diameter. Part I. Integral chains with coefficients in a complete normed commutative group (2022)
• E. Parini - G. Saracco (Submitted Paper)
  Optimization of the anisotropic Cheeger constant with respect to the anisotropy (2022)
• V. Franceschi - A. Pinamonti - G. Saracco - G. Stefani (Submitted Paper)
  The Cheeger problem in abstract measure spaces (2022)
• C. Brena - N. Gigli (preprint)
  Local vector measures (2022)
• I. Ftouhi - A. L. Masiello - G. Paoli (Preprint)
  Sharp inequalities involving the Cheeger constant of planar convex sets (2022)
• G. Catino - P. Mastrolia - D. Dameno (Submitted Paper)
  Rigidity results for Riemannian twistor spaces under vanishing curvature conditions (2022)
• G. Catino - P. Mastrolia - D. Dameno (Submitted Paper)
  Some canonical metrics via Aubin's local deformations (2022)
• D. Pallara - S. Polidoro (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S)
  Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups (2022)
• E. Tasso (Submitted Paper)
  Rectifiability of a class of integralgeometric measures and applications (2022)
• M. Bonafini - O. Minevich - B. Schmitzer (preprint)
  Hellinger-Kantorovich barycenter between Dirac measures (2022)
• M. Squassina - M. Yang - S. Zhao (Submitted Paper)
  Local Uniqueness of blow-up solutions for critical Hartree equations in bounded domain (2022)
• F. Maggi - R. Neumayer - I. Tomasetti (Preprint)
  Rigidity theorems for best Sobolev inequalities (2022)
• F. Santambrogio - G. Toshpulatov (Preprint)
  Strong L^2 H^2 convergence of the JKO scheme for the Fokker-Planck equation (2022)
• G. Bellettini - A. Betti - M. Paolini (Submitted Paper)
  A free boundary singular transport equation as a formal limit of a discrete dynamical system (2022)
• R. Marziani (Preprint)
  $\Gamma$-convergence and stochastic homogenisation of phase-transition functionals (2022)
• A. Pluda - M. Pozzetta (Preprint)
  Minimizing properties of networks via global and local calibrations (2022)
• A. Ruland - A. Tribuzio (preprint)
  On Scaling Laws for Multi-Well Nucleation Problems without Gauge Invariances (2022)
• H. Bahouri - D. Barilari - I. Gallagher - M. Léautaud (Preprint)
  Spectral summability for the quartic oscillator with applications to the Engel group (2022)

Recently Modified Papers

• E. Davoli - M. Friedrich (Accepted Paper: JEMS)
  Two-well linearization for solid-solid phase transitions (2022)
• G. Dal Maso - R. Toader (Accepted Paper: NoDEA Nonlinear Differential Equations Appl.)
  A new space of generalised functions with bounded variation motivated by fracture mechanics (2022)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Arch. Ration. Mech. Anal.)
  Stochastic Homogenisation of Free-Discontinuity Problems (2019)
• G. Dal Maso - R. Toader (J. Differential Equations)
  On the Cauchy problem for the wave equation on time-dependent domains (2019)
• I. Ftouhi (Accepted Paper: Communications in Contemporary Mathematics)
  Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains (2021)
• M. Bonacini - R. Cristoferi - I. Topaloglu (J. Geom. Anal.)
  Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals (2022)
• M. Novaga - F. Onoue (Accepted Paper: Nonlinear Analysis)
  Existence of minimizers for a generalized liquid drop model with fractional perimeter (2021)
• C. Scharrer (Accepted Paper: Nonlinear Analysis)
  Embedded Delaunay tori and their Willmore energy (2022)
• L. De Rosa - M. Latocca - G. Stefani (Submitted Paper)
  On double Hölder regularity of the hydrodynamic pressure in bounded domains (2022)
• F. Fleißner (Accepted Paper: Annali di Matematica Pura ed Applicata)
  Minimal solutions to generalized $\Lambda$-semiflows and gradient flows in metric spaces (2017)
• G. Lazzaroni - R. Molinarolo - F. Riva - F. Solombrino (Accepted Paper: Interfaces Free Bound.)
  On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding (2022)
• A. Ruland - A. Tribuzio (Preprint)
  On the Energy Scaling Behaviour of Singular Perturbation Models Involving Higher Order Laminates (2021)
• M. Amar - J. Matias - M. Morandotti - E. Zappale (Accepted Paper: ZAMP)
  Periodic homogenization in the context of structured deformations (2022)
• A. Bach - M. Cicalese - M. Ruf (SIAM J. Math. Anal.)
  Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (2021)
• A. Bach - M. Cicalese - L. Kreutz - G. Orlando (Calc. Var. Partial Diff. Equations)
  The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling (2021)
• M. Cicalese - G. Orlando - M. Ruf (Interfaces and Free Boundaries)
  Coarse graining and large-$N$ behavior of the $d$-dimensional $N$-clock model (2021)
• M. Cicalese - M. Focardi - C. I. Zeppieri (J. Nonlinear Sci.)
  Phase-field approximation of functionals defined on piecewise-rigid maps (2021)
• M. Cicalese - M. Forster - G. Orlando (Accepted Paper: 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 (2021)
• A. Chambolle - M. Novaga (Ann. Scuola Normale Sup. Pisa)
  Anisotropic and crystalline mean curvature flow of mean-convex sets (2022)
• G. Cavagnari - G. Savaré - G. E. Sodini (Probability Theory and Related Fields)
  Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces (2022)
• G. Savaré - G. E. Sodini (Journal of Convex Analysis)
  A simple relaxation approach to duality for Optimal Transport problems in completely regular spaces (2022)
• A. Braides - G. C. Brusca (Preprint)
  Asymptotic behaviour of the capacity in two-dimensional heterogeneous media (2022)