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Research Article | Open Access

Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms

Xincai Zhu( ), Yajie Zhu
School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
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Abstract

This paper is devoted to studying constraint minimizers for a class of elliptic equations with two nonlocal terms. Using the methods of constrained variation and energy estimation, we analyze the existence, non-existence, and limit behavior of minimizers for the related minimization problem. Our work extends and enriches the study of bi-nonlocal problems.

Keywords

elliptic equationbi-nonlocal problemsconstraint minimizerlimit behavior

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Electronic Research Archive
Volume 32 Issue 8,
August 2024
Pages 4991-5009
DOI: 10.3934/era.2024230

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Cite this article:
Zhu X, Zhu Y. Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms. Electronic Research Archive, 2024, 32(8): 4991-5009. https://doi.org/10.3934/era.2024230

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Received: 10 April 2024
Revised: 15 July 2024
Accepted: 31 July 2024
Published: 19 August 2024
©2024 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)