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

Authors :
Zhu, Xincai
Zhu, Yajie
Source :
Electronic Research Archive; Aug2024, Vol. 32 Issue 8, p1-19, 19p
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
26881594
Volume :
32
Issue :
8
Database :
Complementary Index
Journal :
Electronic Research Archive
Publication Type :
Academic Journal
Accession number :
179279267
Full Text :
https://doi.org/10.3934/era.2024230