Overdetermined problems for fully nonlinear elliptic equations
Analysis of PDEs
2013-07-01 v1
Abstract
We prove that the existence of a solution to a fully nonlinear elliptic equation in a bounded domain with an overdetermined boundary condition prescribing both Dirichlet and Neumann constant data forces the domain to be a ball. This is a generalization of Serrin's classical result from 1971.
Cite
@article{arxiv.1306.6673,
title = {Overdetermined problems for fully nonlinear elliptic equations},
author = {Luis Silvestre and Boyan Sirakov},
journal= {arXiv preprint arXiv:1306.6673},
year = {2013}
}
Comments
19 pages