Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms
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 wor...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024230 |
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| _version_ | 1832590799806660608 |
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| author | Xincai Zhu Yajie Zhu |
| author_facet | Xincai Zhu Yajie Zhu |
| author_sort | Xincai Zhu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-289ae49ba4414c20907b9aa5522f8888 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-289ae49ba4414c20907b9aa5522f88882025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013284991500910.3934/era.2024230Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal termsXincai Zhu0Yajie Zhu1School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, ChinaSchool of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, ChinaThis 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.https://www.aimspress.com/article/doi/10.3934/era.2024230elliptic equationbi-nonlocal problemsconstraint minimizerlimit behavior |
| spellingShingle | Xincai Zhu Yajie Zhu Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms Electronic Research Archive elliptic equation bi-nonlocal problems constraint minimizer limit behavior |
| title | Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms |
| title_full | Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms |
| title_fullStr | Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms |
| title_full_unstemmed | Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms |
| title_short | Existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms |
| title_sort | existence and limit behavior of constraint minimizers for elliptic equations with two nonlocal terms |
| topic | elliptic equation bi-nonlocal problems constraint minimizer limit behavior |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024230 |
| work_keys_str_mv | AT xincaizhu existenceandlimitbehaviorofconstraintminimizersforellipticequationswithtwononlocalterms AT yajiezhu existenceandlimitbehaviorofconstraintminimizersforellipticequationswithtwononlocalterms |