Symmetry results for Serrin-type problems in doubly connected domains

In this work, we employ the technique developed in [<xref ref-type="bibr" rid="b2">2 ] to prove rotational symmetry for a class of Serrin-type problems for the standard Laplacian. We also discuss in some length how our strategy compares with the classical moving plane metho...

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Bibliographic Details
Published in:	Mathematics in engineering Vol. 5; no. 2; pp. 1 - 16
Main Author:	Borghini, Stefano
Format:	Journal Article
Language:	English
Published:	AIMS Press 2022
Subjects:	doubly-connected domains overdetermined boundary value problems
Online Access:	Get full text
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Summary:	In this work, we employ the technique developed in [<xref ref-type="bibr" rid="b2">2 ] to prove rotational symmetry for a class of Serrin-type problems for the standard Laplacian. We also discuss in some length how our strategy compares with the classical moving plane method.
ISSN:	2640-3501 2640-3501
DOI:	10.3934/mine.2023027