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.