Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type
Analysis of PDEs
2020-02-24 v2
Abstract
In this paper, we consider an overdetermined problem of Serrin-type for a two-phase elliptic operator with piecewise constant coefficients. We show the existence of infinitely many branches of nontrivial symmetry breaking solutions which bifurcate from any radially symmetric configuration satisfying some condition on the coefficients.
Cite
@article{arxiv.2001.10212,
title = {Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type},
author = {Lorenzo Cavallina and Toshiaki Yachimura},
journal= {arXiv preprint arXiv:2001.10212},
year = {2020}
}
Comments
10 pages, 3 figures