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Research Article | Open Access

Two overdetermined problems for anisotropic p-Laplacian

School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China
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Abstract

In this paper, we consider two overdetermined problems for the anisotropic p-Laplacian ( 1 < p ≤ n) in the exterior domains and the bounded punctured domains, respectively, and prove the corresponding Wulff shape characterizations, by using Weinberger type approach.

Keywords

anisotropic p-Laplaciancapacityoverdetermined problemsWulff shape

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Mathematics in Engineering
Volume 4 Issue 2,
April 2022
Pages 1-18
DOI: 10.3934/mine.2022015

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Cite this article:
Xia C, Yin J. Two overdetermined problems for anisotropic p-Laplacian. Mathematics in Engineering, 2022, 4(2): 1-18. https://doi.org/10.3934/mine.2022015

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Received: 26 January 2021
Accepted: 23 June 2021
Published: 15 April 2022
©2022 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)