English

Existence of free boundaries for some overdetermined-value problems

Analysis of PDEs 2023-04-11 v1

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.

Keywords

Cite

@article{arxiv.2304.04107,
  title  = {Existence of free boundaries for some overdetermined-value problems},
  author = {Mohammed Barkatou},
  journal= {arXiv preprint arXiv:2304.04107},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2005.04797

R2 v1 2026-06-28T09:55:45.409Z