[pratelli]

Aldo Pratelli

Assistant Professor, Dip. Mat. Univ. Pavia

Email: aldo.pratelli AT unipv.it

Available papers (37):

• A. Figalli - F. Maggi - A. Pratelli (Submitted Paper)
  Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation (2011)
• A. Figalli - F. Maggi - A. Pratelli (Submitted Paper)
  A Geometric Approach to Correlation Inequalities in the Plane (2011)
• F. Maggi - M. Ponsiglione - A. Pratelli (Preprint)
  Quantitative stability in the isodiametric inequality via the isoperimetric inequality (2011)
• L. Brasco - A. Pratelli (Accepted paper: GAFA)
  Sharp stability of some spectral inequalities (2011)
• S. Daneri - A. Pratelli (Preprint)
  A planar bi-Lipschitz extension Theorem (2011)
• S. Daneri - A. Pratelli (Preprint)
  Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms (2011)
• D. Mazzoleni - A. Pratelli (Preprint)
  Existence of minimizers for spectral problems (2011)
• L. Brasco - C. Nitsch - A. Pratelli (Submitted Paper)
  On the boundary of the attainable set of the Dirichlet spectrum (2011)
• M. Beiglböck - A. Pratelli (Preprint)
  Duality for rectified Cost Functions (2010)
• A. Figalli - F. Maggi - A. Pratelli (Accepted Paper: Invent. Math.)
  A mass transportation approach to quantitative isoperimetric inequalities (2010)
• N. Fusco - F. Maggi - A. Pratelli (Submitted Paper)
  On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density (2010)
• P. F. Antonietti - A. Pratelli (Accepted Paper: Numer. Math.)
  Finite Element Approximation of the Sobolev Constant (2010)
• D. Krejcirik - A. Pratelli (Preprint)
  The Cheeger constant of curved strips (2010)
• N. Fusco - A. Pratelli (Accepted Paper: JEMS)
  On a conjecture by Auerbach (2010)
• G. Crippa - C. Jimenez - A. Pratelli (Advances in Calculus of Variations)
  Optimum and equilibrium in a transport problem with queue penalization effect (2009)
• G. Buttazzo - A. Pratelli - S. Solimini - E. Stepanov (Springer Lecture Notes in Mathematics)
  Optimal urban networks via mass transportation (2009)
• A. Figalli - F. Maggi - A. Pratelli (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
  A refined Brunn-Minkowski inequality for convex sets (2009)
• G. Crippa - C. Jimenez - A. Pratelli (Singularities in nonlinear evolution phenomena and applications - proceedings)
  A transport problem with queue penalization effect (2009)
• A. Figalli - F. Maggi - A. Pratelli (Proc. Amer. Math. Soc.)
  A note on Cheeger sets (2008)
• A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Accepted Paper: American Journal of Mathematics)
  On the isoperimetric deficit in the Gauss space (2008)
• A. Pratelli (Math. Z.)
  On the sufficiency of $c$-cyclical monotonicity for optimality of transport plans (2007)
• A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Journal of the European Mathematical Society)
  The sharp Sobolev inequality in quantitative form (2007)
• N. Fusco - F. Maggi - A. Pratelli (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) )
  Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2007)
• N. Fusco - F. Maggi - A. Pratelli (Ann. of Math. (2))
  The sharp quantitative isoperimetric inequality (2006)
• G. Buttazzo - A. Pratelli - E. Stepanov (SIAM J. Opt)
  Optimal pricing policies for public transportation networks (2006)
• N. Fusco - F. Maggi - A. Pratelli (J. Funct. Anal.)
  The sharp quantitative Sobolev inequality for functions of bounded variation (2006)
• A. Pratelli (Rend. Sem. Mat. Univ. Padova)
  How to show that some rays are maximal transport rays in Monge problem (2005)
• A. Pratelli (Ann. Mat. Pura Appl.)
  Equivalence between some definitions for the optimal mass transport problem and for the transport density on manifolds (2005)
• I. Fragalà - M. S. Gelli - A. Pratelli (JMPA)
  Continuity of an optimal transport in Monge problem (2005)
• A. Pratelli (Ann. Inst. H. Poincare' Probab. Statist.)
  On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation (2005)
• L. De Pascale - L. C. Evans - A. Pratelli (Bulletin of the London Mathematical Society)
  Integral estimates for transport densities (2004)
• L. De Pascale - A. Pratelli ( ESAIM Control Optim. Calc. Var. )
  Sharp summability for Monge Transport density via Interpolation (2004)
• L. Ambrosio - B. Kirchheim - A. Pratelli (Duke Math. J.)
  Existence of optimal transport maps for crystalline norms (2004)
• A. Pratelli (Ph.D. Thesis)
  Existence of optimal transport maps and regularity of the transport density in mass transportation problems (2003)
• L. De Pascale - A. Pratelli ( Calc. Var. Partial Differential Equations)
  Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem (2002)
• L. Ambrosio - A. Pratelli
  Existence and stability results in the $L^1$ theory of optimal transportation (2002)
• A. Pratelli (Degree Thesis)
  Regolarità delle misure ottimali nel problema di trasporto di Monge--Kantorovich (2000)

Seminars:

• 18 apr 2012: Existence and boundedness for minima of spectral problems
• 16 dec 2009: Insiemi di perimetro minimo per il problema misto Euclideo-Gaussiano.
• 24 nov 2005: The sharp quantitative estimate for the isoperiometric inequality