[dephilipp]

Guido De Philippis

Ph.D. Student, SNS Pisa

Email: guido.dephilippis AT sns.it

Available papers (13):

• G. De Philippis - A. Figalli (Accepted Paper: Invent. Math.)
  $W^{2,1}$ regularity for solutions of the Monge-Ampère equation (2012)
• L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Accepted Paper: Comm. Partial Differential Equations)
  Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case (2012)
• G. De Philippis - A. Figalli - O. Savin (Preprint)
  A note on interior $W^{2,1+ \varepsilon}$ estimates for the Monge-Ampère equation (2012)
• G. De Philippis - A. Figalli (Preprint)
  Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps (2012)
• G. De Philippis - A. Figalli (Submitted Paper)
  Optimal regularity of the convex envelope (2012)
• L. Ambrosio - G. De Philippis - L. Martinazzi (Manuscripta Math.)
  Gamma-convergence of nonlocal perimeter functionals (2011)
• L. Ambrosio - G. De Philippis - B. Kirchheim (Rend. Lincei - Mat. e Appl.)
  Regularity of optimal transport maps and partial differential inclusions (2011)
• F. Charro - G. De Philippis - A. Di Castro - D. Maximo (Submitted Paper)
  On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian (2011)
• L. Ambrosio - G. Crasta - V. De Cicco - G. De Philippis (Accepted Paper: Manuscripta Math.)
  A nonautonomous chain rule in $W^{1,1}$ and in $BV$ (2011)
• L. Brasco - G. De Philippis - B. Ruffini (Accepted Paper: J. Funct. Anal.)
  Spectral optimization for the Stekloff--Laplacian: the stability issue (2011)
• G. De Philippis - F. Maggi (Submitted Paper)
  Sharp stability inequalities for the Plateau problem (2011)
• G. De Philippis (Accepted Paper: ESAIM Control Optim. Calc. Var)
  Weak notions of Jacobian determinant and relaxation (2010)
• G. De Philippis - E. Paolini (Rend. Sem. Mat. Univ. Padova)
  A short proof of the minimality of Simons cone (2009)

Seminars:

• 16 nov 2011: Tug of War game, non variational p-Laplacian and Aleksandrov Bakelman Pucci estimates for the infinity Laplacian
• 2 feb 2011: Regularity of optimal transport maps and partial differential inclusions