paper

Existence of free boundaries for some overdetermined-value problems

arXiv:2304.04107

Abstract

The aim of this paper is first to give necessary and sufficient condition of existence (of free boundaries) for both Laplacian and bi-Laplacian operators in the case where the overdetermined condition is not constant. second, by using some classical ineqhalities, we get existence for several (other) overdetermined free boundary problems.

arXiv admin note: text overlap with arXiv:2005.04797

Existence of free boundaries for some overdetermined-value problems · wovepaper