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arXiv · 2304.04107

Existence of free boundaries for some overdetermined-value problems

Mohammed Barkatou
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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.

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Mohammed Barkatou. 2023-04-08. Existence of free boundaries for some overdetermined-value problems. https://arxiv.org/abs/2304.04107

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