Free boundary on a cone
Analysis of PDEs
2013-01-28 v1
Abstract
We study two phase problems posed over a two dimensional cone generated by a smooth curve on the unit sphere. We show that when the free boundary avoids the vertex of the cone. When we provide examples of minimizers such that the vertex belongs to the free boundary.
Keywords
Cite
@article{arxiv.1301.6047,
title = {Free boundary on a cone},
author = {Mark Allen and Hector Chang Lara},
journal= {arXiv preprint arXiv:1301.6047},
year = {2013}
}