Display Abstract

Title Gradient estimates and symmetry results in anisotropic media

Name Enrico Valdinoci
Country Germany
Email enrico@math.utexas.edu
Co-Author(s)
Submit Time 2014-02-22 12:27:58
Session
Special Session 76: Viscosity, nonlinearity and maximum principle
Contents
We consider a Wulff-type energy functional in an anisotropic setting. The critical points of this functional satisfy a possibly singular or degenerate, quasilinear equation in an anisotropic medium. We prove that the gradient of the solution is bounded at any point by the potential and we deduce several rigidity and symmetry properties. The results presented were obtained in collaboration with M. Cozzi and A. Farina.