Tangential contact between free and fixed boundaries for variational solutions to variable coefficient Bernoulli type Free boundary problems
Analysis of PDEs
2022-04-05 v1
Abstract
In this paper, we show that given appropriate boundary data, the free boundary and the fixed boundary of minimizers of functionals of type \eqref{functional} contact each other in a tangential fashion. We prove this result via classification of the global profiles, adapting the ideas from \cite{KKS06}.
Keywords
Cite
@article{arxiv.2204.01231,
title = {Tangential contact between free and fixed boundaries for variational solutions to variable coefficient Bernoulli type Free boundary problems},
author = {Diego Moreira and Harish Shrivastava},
journal= {arXiv preprint arXiv:2204.01231},
year = {2022}
}