Seminario Análisis y EDPs

Inhomoeneous global minimazers to the one-phase free boundary problem

Ponente:  Daniela de Silva (Columbia University)
Fecha:  miércoles 18 de mayo de 2022 - 15:00
Online: (ID: 814 9107 9139; Access code: 937701)


Given a global 1-homogeneous minimazer U to the Alt-Caffarelli energy functional with sing(F(U))={0}, we rpovide a foliation of the half-space with dilations of graphs of global minimazers U_<U<U^ with analytic free boundaries at distance 1 from the origin. This is a joint work with D. Jerison and H. Dhahgholian.