A Bernoulli problem with non constant gradient boundary constraint
Analysis of PDEs
2010-09-08 v1
Abstract
We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit normal. In particular we prove that, in the convex case, the existence of a subsolution guarantees the existence of a classical solution, which is proved to be convex.
Cite
@article{arxiv.1009.1277,
title = {A Bernoulli problem with non constant gradient boundary constraint},
author = {Chiara Bianchini},
journal= {arXiv preprint arXiv:1009.1277},
year = {2010}
}
Comments
8 pages, no figures