Non-Local Minimal surfaces

GEOMETRIC PDE SEMINAR
Topic:Non-Local Minimal surfaces
Speaker:Jean-Michel Roquejoffre
Affiliation:Institut de Mathematiques, Universite Paul Sabatier
Date:Tuesday, January 20
Time/Room:3:30pm - 4:30pm/S-101

We discuss the local properties of the boundaries of sets whose indicator function is a local minimizer of a Sobolev norm of exponent strictly less than 1/2. It turns out that one devise a regularity that parallels very much that of de Giorgi for minimal surfaces.