Positive solution for a nonlocal problem with strong singular nonlinearity
In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution. Moreover, a method of algebraic analysis is used to deal with t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-09-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2023-0103 |
| _version_ | 1797688804714217472 |
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| author | Wang Yue Wei Wei Xiong Zong-Hong Yang Jian |
| author_facet | Wang Yue Wei Wei Xiong Zong-Hong Yang Jian |
| author_sort | Wang Yue |
| collection | DOAJ |
| description | In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution. Moreover, a method of algebraic analysis is used to deal with the multiplicity of solutions. Compared with the existing literature, our problems and results are novel. |
| first_indexed | 2024-03-12T01:36:01Z |
| format | Article |
| id | doaj.art-360ab29fba9c462fbe134647303e8b96 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-03-12T01:36:01Z |
| publishDate | 2023-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-360ab29fba9c462fbe134647303e8b962023-09-11T07:00:02ZengDe GruyterOpen Mathematics2391-54552023-09-0121128434610.1515/math-2023-0103Positive solution for a nonlocal problem with strong singular nonlinearityWang Yue0Wei Wei1Xiong Zong-Hong2Yang Jian3School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, People’s Republic of ChinaSchool of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, People’s Republic of ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, People’s Republic of ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, People’s Republic of ChinaIn this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution. Moreover, a method of algebraic analysis is used to deal with the multiplicity of solutions. Compared with the existing literature, our problems and results are novel.https://doi.org/10.1515/math-2023-0103nonlocal problemstrong singular termekeland’s variational principlealgebraic analysispositive solution35b0935j7535j60 |
| spellingShingle | Wang Yue Wei Wei Xiong Zong-Hong Yang Jian Positive solution for a nonlocal problem with strong singular nonlinearity Open Mathematics nonlocal problem strong singular term ekeland’s variational principle algebraic analysis positive solution 35b09 35j75 35j60 |
| title | Positive solution for a nonlocal problem with strong singular nonlinearity |
| title_full | Positive solution for a nonlocal problem with strong singular nonlinearity |
| title_fullStr | Positive solution for a nonlocal problem with strong singular nonlinearity |
| title_full_unstemmed | Positive solution for a nonlocal problem with strong singular nonlinearity |
| title_short | Positive solution for a nonlocal problem with strong singular nonlinearity |
| title_sort | positive solution for a nonlocal problem with strong singular nonlinearity |
| topic | nonlocal problem strong singular term ekeland’s variational principle algebraic analysis positive solution 35b09 35j75 35j60 |
| url | https://doi.org/10.1515/math-2023-0103 |
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