Some remarks on stability of cones for the one-phase free boundary problem
Analysis of PDEs
2014-10-29 v1
Abstract
We show that stable cones for the one-phase free boundary problem are hyperplanes in dimension . As a corollary, both one and two-phase energy minimizing hypersurfaces are smooth in dimension .
Keywords
Cite
@article{arxiv.1410.7463,
title = {Some remarks on stability of cones for the one-phase free boundary problem},
author = {David Jerison and Ovidiu Savin},
journal= {arXiv preprint arXiv:1410.7463},
year = {2014}
}