Calculus of Variations and Geometric Measure Theory

Tug of War game, non variational p-Laplacian and Aleksandrov Bakelman Pucci estimates for the infinity Laplacian

Guido De Philippis (Courant Institute of Mathematics)

created by magnani on 27 Oct 2011

16 nov 2011 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University


I will show uniform bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the non variational infinity and p-Laplacian. As a consequence I will prove the convergence of the value functions to the Tug of War with noise to the value function of the classical Tug of War as the noise goes to zero. Finally I will discuss the failure of the classical Alexandrov-Bakelman-Pucci estimate for the normalized infinity Laplacian and propose alternate estimates. (Joint work with F.Charro, A. Di Castro, D. Maximo.)