A fully nonlinear problem with free boundary in the plane
Analysis of PDEs
2008-11-11 v1
Abstract
We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the plane are one dimensional. Our proof relies on maximum principle techniques and convexity arguments.
Cite
@article{arxiv.0811.1476,
title = {A fully nonlinear problem with free boundary in the plane},
author = {Daniela De Silva and Enrico Valdinoci},
journal= {arXiv preprint arXiv:0811.1476},
year = {2008}
}