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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)
• Vectorial Elliptic, Parabolic and Variational Problems: Singularities and Regularity (Giuseppe Mingione)
• Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
• Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)

Open Positions

• Università di Pavia - Ricercatore a tempo determinato in Analisi Matematica (deadline: 1 Jun 2017)
• Two postdocs, Mathematics Department, Padova (deadline: 21 Jun 2017)
• 2 Postdoctoral Positions at the University of Vienna (deadline: 30 Jun 2017)

Forthcoming Seminars

• 31 May 2017: M. Goldman: An exact self-similar solution to a branched transport problem
• 14 Jun 2017: E. Stepanov: Self-contracted curves have finite length

Forthcoming Events

• 10 Apr - 9 Jun 2017: Indam Intensive Period on "Contemporary Research in elliptic PDEs and related topics" Department of Mathematics, University of Bari
• 22 May - 2 Jun 2017: Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability ICTP Trieste
• 31 May - 7 Jun 2017: Workshop: Optimal Transport meets Density Functional Theory Jyväskylä, Finland
• 5 - 9 Jun 2017: Ninth Summer School in Analysis and Applied Mathematics Rome, Sapienza University, Department of Mathematics
• 5 - 10 Jun 2017: Summer School on Modern Knot Theory Freiburg
• 12 - 15 Jun 2017: New Trends on Calculus of Variations and PDE's Firenze - Montecatini
• 12 - 16 Jun 2017: Mini-courses in Mathematical Analysis Padova
• 14 - 16 Jun 2017: From students to mathematicians: an excellence master program in Trieste Trieste
• 15 - 16 Jun 2017: From Solid Mechanics to Mathematical Analysis: A workshop on the occasion of Gilles Francfort's 60th birthday Institut Henri Poincaré, Paris, France
• 19 - 30 Jun 2017: Fourth Chicago Summer School In Analysis University of Chicago
• 19 - 21 Jun 2017: Variational Analysis and Equilibrium Models in Physical and Socio-Economic Phenomena Naples
• 19 - 23 Jun 2017: Geometry of PDE's and related problems Cetraro (CS)
• 19 - 23 Jun 2017: Geometric Analysis on smooth and non-smooth spaces SISSA
• 19 - 23 Jun 2017: Summer School on Multi-Rate Processes, Slow-Fast Systems and Hysteresis DISMA Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange"
• 26 - 30 Jun 2017: Nonlinear Analysis in Rome Rome
• 26 - 30 Jun 2017: Curves and Networks in Geometric Analysis Centro De Giorgi, Pisa
• 26 - 30 Jun 2017: Irregular Transport: Analysis and Applications Basel, Switzerland
• 26 - 30 Jun 2017: CIME-CIRM Course on New Trends on Analysis and Geometry in Metric Spaces (Tenth School) Levico Terme
• 27 - 30 Jun 2017: Mathematical Control Theory: with a special session in honor of Gianna Stefani Porquerolles, France
• 30 Jun - 1 Jul 2017: From Regensburg to Pisa: two days of Analysis under the leaning tower Dipartimento di Matematica, Università di Pisa
• 3 - 6 Jul 2017: Recent Advances in PDEs and the Calculus of Variations Venice
• 3 - 14 Jul 2017: Summer School in Neurogeometry Palazzone of the Scuola Normale Superiore, Cortona, Italy
• 14 - 19 Aug 2017: Mathematics in the Modern World Novosibirsk, Russia
• 6 - 8 Sep 2017: IperPV2017 Pavia
• 14 - 15 Sep 2017: Workshop "Calculus of Variations and Partial Differential Equations" Università degli Studi di Napoli Federico II
• 18 - 20 Sep 2017: 4th Conference on Recent Trends in Nonlinear Phenomena Messina
• 21 - 22 Sep 2017: Nonlinear Days in Turin Turin
• 2 - 6 Oct 2017: Harmonic Analysis and Geometric measure Theory CIRM (Marseille, France)
• 9 - 13 Oct 2017: Geometric Analysis at Roscoff Roscoff, France

Recently Added Papers

• G. Alberti - A. Massaccesi (Accepted Paper)
  On some geometric properties of currents and Frobenius theorem (2017)
• José A. Carrillo - F. Hoffmann - E. Mainini - B. Volzone (preprint)
  Ground States in the Diffusion-Dominated Regime (2017)
• G. Bellettini - M. Paolini - F. Pasquarelli (Preprint)
  Triple coverings and a genus-two surface spanning an elongated tetrahedron and beating the cone (2017)
• C. De Lellis (Preprint)
  Il teorema di Schlaefli: un invito alla quarta dimensione (2016)
• C. De Lellis
  Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2) (2012)
• C. De Lellis - L. J. Székelyhidi (Accepted Paper)
  John Nash's nonlinear iteration (2017)
• C. De Lellis (Preprint)
  Allard's interior regularity theorem: an invitation to stationary varifolds (2012)
• M. F. Véron - Q. H. Nguyen - L. Véron (Submitted Paper)
  Quasilinear and Hessian Lane-Emden type systems with measure data (2017)
• H. M. Nguyen - Q. H. Nguyen (Calculus of Variations and Partial Differential Equations)
  Discreteness of interior transmission eigenvalues revisited (2017)
• Q. H. Nguyen (Submitted Paper)
  Gradient estimates for singular quasilinear elliptic equations with measure data (2017)
• Q. H. Nguyen (Submitted Paper)
  Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients (2017)
• E. Paolini (Matematica, cultura e società)
  Dehn e Banach-Tarski: opposti paradossi (2017)
• D. Barilari - L. Rizzi (Preprint)
  Sub-Riemannian interpolation inequalities: ideal structures (2017)
• G. A. Francfort - M. G. Mora (Submitted Paper)
  Quasistatic evolution in non-associative plasticity revisited (2017)
• E. Le Donne - A. Pinamonti - G. Speight (Submitted Paper)
  Universal differentiability sets and maximal directional derivatives in Carnot groups (2017)
• G. Speight (Israel Journal of Mathematics)
  Surfaces Meeting Porous Sets in Positive Measure (2012)
• D. Bate - G. Speight (Proceedings of the American Mathematical Society)
  Differentiability, Porosity and Doubling in Metric Measure Spaces (2011)
• D. Preiss - G. Speight (Inventiones Mathematicae)
  Differentiability of Lipschitz Functions in Lebesgue Null Sets (2013)
• G. Speight (Real Analysis Exchange)
  Directional Lower Porosity (2012)
• A. Malchiodi - R. Mandel - M. Rizzi (Preprint)
  Periodic solutions to the Cahn-Hilliard equation in the plane (2017)
• N. De Ponti (preprint)
  A concentration result on submanifolds of compact positively curved homogeneous spaces (2017)
• V. De Cicco - D. Giachetti - S. Segura de León (Submitted Paper)
  Elliptic problems involving the 1-Laplacian and a singular lower order term (2017)

Recently Modified Papers

• G. Alberti - A. Marchese (Geom. Funct. Anal. (GAFA) )
  On the differentiability of Lipschitz functions with respect to measures in the Euclidean space (2016)
• G. Alberti - M. Ottolini (Nonlinear Analysis)
  On the structure of continua with finite length and Golab's semicontinuity theorem (2017)
• M. Caponi (Milan J. Math.)
  Linear Hyperbolic Systems in Domains with Growing Cracks (2017)
• A. Fiscella - A. Pinamonti - E. Vecchi (Accepted Paper: Journal of Differential Equations)
  Multiplicity results for magnetic fractional problems (2017)
• M. G. Mora - L. Rondi - L. Scardia (Submitted Paper)
  The equilibrium measure for a nonlocal dislocation energy (2016)
• C. De Lellis (Accepted Paper)
  The masterpieces of John Forbes Nash Jr. (2016)
• C. De Lellis - P. Gwiazda - S. G. Agnieszka (Calc. Var. Partial Differential Equations)
  Transport equation with integral terms (2016)
• C. De Lellis - L. J. Székelyhidi (Bull. Amer. Math. Soc. (N.S.))
  High dimensionality and h-principle in PDE (2017)
• C. De Lellis - L. J. Székelyhidi (Eur. Math. Soc. Newsl.)
  The $h$-principle and Onsager's conjecture (2015)
• C. De Lellis (Surveys in differential geometry)
  The size of the singular set of area-minimizing currents (2016)
• C. De Lellis - E. Spadaro - L. Spolaor (Accepted Paper: Comm. Pure Appl. Math.)
  Uniqueness of tangent cones for $2$-dimensional almost minimizing currents (2015)
• C. De Lellis - D. Inauen - L. J. Székelyhidi (Accepted Paper: Revista matemática Iberoamericana)
  A Nash-Kuiper theorem for $C^{1,\frac{1}{5}-\delta}$ immersions of surfaces in $3$ dimensions (2015)
• C. De Lellis - E. Spadaro - L. Spolaor (Accepted Paper: Transactions AMS)
  Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation (2015)
• C. De Lellis (Boll. Unione Mat. Ital.)
  $2$-dimensional almost area minimizing currents (2016)
• T. Buckmaster - C. De Lellis - P. Isett - L. J. Székelyhidi (Ann. of Math. (2))
  Anomalous dissipation for $1/5$-Hölder Euler flows (2015)
• T. Buckmaster - C. De Lellis - L. J. László Jr Székelyhidi (Comm. Pure Appl. Math.)
  Dissipative Euler flows with Onsager-critical spatial regularity (2016)
• C. De Lellis - R. Ignat (Comm. Partial Differential Equations)
  A regularizing property of the 2d-eikonal equation (2015)
• C. De Lellis - E. Spadaro (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5))
  Multiple valued functions and integral currents (2015)
• C. De Lellis - L. J. László Jr Székelyhidi (Invent. Math.)
  Dissipative continuous Euler flows (2013)
• C. De Lellis - E. Spadaro (Geom. Funct. Anal.)
  Regularity of area-minimizing currents I: $L^p$ gradient estimates (2014)
• E. Chiodaroli - C. De Lellis - O. Kreml (Proceedings of HYP2012)
  Surprising solutions to the isentropic system of gas dynamics (2014)
• C. De Lellis - E. Spadaro (Ann. of Math. (2))
  Regularity of area-minimizing currents III: blow up (2016)
• C. De Lellis - E. Spadaro (Ann. of Math. (2) )
  Regularity of area-minimizing currents II: center manifold (2016)
• C. De Lellis - L. J. László Jr Székelyhidi (European Congress of Mathematics)
  Continuous dissipative Euler flows and a conjecture of Onsager (2013)
• C. De Lellis - E. Spadaro (Memoirs of the American Mathematical Society)
  Q-Valued functions revisited (2011)
• C. De Lellis - F. Ghiraldin - F. Maggi (Accepted Paper: JEMS)
  A direct approach to Plateau's problem (2014)
• C. De Lellis - L. J. László Jr Székelyhidi (J. Eur. Math. Soc. (JEMS))
  Dissipative Euler flows and Onsager's conjecture (2014)
• G. Alberti - G. Crippa - A. L. Mazzucato (Comptes Rendus Mathématique)
  Exponential self-similar mixing and loss of regularity for continuity equations (2014)
• L. Nardini (Journal of Dynamics and Differential Equations)
  A note on the convergence of singularly perturbed second order potential-type equations (2017)
• A. Braides - A. Cancedda - V. Chiadò Piat (ESAIM: Control Optim. Calc. Var.)
  Homogenization of metrics in oscillating manifolds (2017)
• L. Ambrosio - M. Colombo - A. Figalli (Accepted Paper: Duke Math. J.)
  On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017)
• N. Gigli - B. Han (Submitted Paper)
  Sobolev Spaces on Warped Products (2015)
• C. De Lellis - J. Ramic (Preprint)
  Min-max theory for minimal hypersurfaces with boundary (2016)
• E. Le Donne - G. Speight ( Calculus of Variations and Partial Differential Equations)
  Lusin Approximation for Horizontal Curves in Step 2 Carnot Groups (2016)
• G. Speight (Revista Matematica Iberoamericana)
  Lusin Approximation and Horizontal Curves in Carnot Groups (2015)
• S. Di Marino - G. Speight (Proceedings of the American Mathematical Society)
  The $p$-Weak Gradient Depends on $p$ (2014)
• L. Ambrosio - A. Pinamonti - G. Speight (Advances in Mathematics)
  Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs (2014)
• L. Ambrosio - A. Pinamonti - G. Speight (Accepted paper: J. Reine Angew. Math.)
  Weighted Sobolev Spaces on Metric Measure Spaces (2015)
• A. Pinamonti - G. Speight (Accepted Paper: Journal of Geometric Analysis)
  Porosity, Differentiability and Pansu's Theorem (2016)
• A. Pinamonti - G. Speight (Accepted paper: Math.Ann.)
  A Measure Zero Universal Differentiability Set in the Heisenberg Group (2015)
• A. Pinamonti - G. Speight (Submitted Paper)
  Structure of Porous Sets in Carnot Groups (2016)
• N. Gigli - B. Han (Journal of Functional Analysis)
  Independence on p of weak upper gradients on RCD spaces (2016)
• B. Han (Accepted Paper: The Journal of Geometric Analysis)
  Ricci tensor on ${\rm RCD}^*(K, N)$ spaces (2017)
• D. Barilari - L. Rizzi (Control, Optimisation and Calculus of Variations)
  Comparison theorems for conjugate points in sub-Riemannian geometry (2014)
• A. Agrachev - L. Rizzi - P. Silveira (Journal of Dynamical and Control Systems)
  On conjugate times of LQ optimal control problems (2013)
• D. Barilari - L. Rizzi (Analysis and Geometry in Metric Spaces)
  A formula for Popp's volume in sub-Riemannian geometry (2013)
• U. Boscain - R. Neel - L. Rizzi (Accepted Paper: Adv. Math.)
  Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry (2015)
• A. Brancolini - B. Wirth (Accepted Paper: SIAM J. Math. Anal.)
  Optimal micropatterns in transport networks (2017)
• A. Brancolini - G. Buttazzo - F. Santambrogio - E. Stepanov (ESAIM Control Optim. Calc. Var.)
  Long-term planning versus short-term planning in the asymptotical location problem (2009)
• A. Brancolini - B. Wirth (J. Math. Pures Appl.)
  Equivalent formulations for the branched transport and urban planning problems (2016)
• A. Brancolini - C. Rossmanith - B. Wirth (Preprint)
  Optimal micropatterns in 2D transport networks and their relation to image inpainting (2016)
• D. Prandi - L. Rizzi - M. Seri (Accepted Paper: Journal of Differential Geometry)
  A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators (2015)
• A. Agrachev - D. Barilari - L. Rizzi (Accepted Paper: Memoirs of the AMS)
  Curvature: a variational approach (2013)
• D. Barilari - L. Rizzi (Accepted Paper: Archivum Mathematicum)
  On Jacobi fields and canonical connection in sub-Riemannian geometry (2015)
• A. Agrachev - D. Barilari - L. Rizzi (Journal of Geometric Analysis)
  Sub-Riemannian curvature in contact geometry (2015)
• A. Agrachev - U. Boscain - R. Neel - L. Rizzi (Accepted Paper: ESAIM: COCV)
  Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling (2016)
• L. Rizzi (Calculus of Variations and PDEs)
  Measure contraction properties of Carnot groups (2016)
• D. Prandi - L. Rizzi - M. Seri (Preprint)
  Quantum confinement on non-complete Riemannian manifolds (2016)
• A. Lerario - L. Rizzi (Journal of symplectic geometry)
  How many geodesics join two points on a contact sub-Riemannian manifold? (2017)
• L. Rizzi - U. Serres (Accepted Paper: Proceedings of the AMS)
  On the cut locus of free, step two Carnot groups (2017)
• D. Barilari - L. Rizzi (Preprint)
  Sharp measure contraction property for generalized H-type Carnot groups (2017)
• L. Rizzi - P. Silveira (Accepted Paper: Journal of the Institute of Mathematics of Jussieu)
  Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds (2015)