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Research Article | Open Access

Symmetry results for Serrin-type problems in doubly connected domains

Dipartimento di matematica e applicazioni, Università degli Studi di Milano-Bicocca, Via Roberto Cozzi, 55, 20125 Milano (MI), Italia
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Abstract

In this work, we employ the technique developed in [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.

Keywords

overdetermined boundary value problemsdoubly-connected domains

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Mathematics in Engineering
Volume 5 Issue 2,
April 2023
Pages 1-16
DOI: 10.3934/mine.2023027

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Borghini S. Symmetry results for Serrin-type problems in doubly connected domains. Mathematics in Engineering, 2023, 5(2): 1-16. https://doi.org/10.3934/mine.2023027

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Received: 29 October 2021
Revised: 15 March 2022
Accepted: 28 March 2022
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)