A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity
This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2024-0076 |
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| _version_ | 1841556469522104320 |
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| author | Wang Li Chen Renhua Zhong Qiaocheng Wang Jun Li Fang |
| author_facet | Wang Li Chen Renhua Zhong Qiaocheng Wang Jun Li Fang |
| author_sort | Wang Li |
| collection | DOAJ |
| description | This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions. |
| format | Article |
| id | doaj-art-00f496880d174ad8bbf7b70f6ab81e37 |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-00f496880d174ad8bbf7b70f6ab81e372025-01-07T07:55:57ZengDe GruyterOpen Mathematics2391-54552024-12-0122152157310.1515/math-2024-0076A uniqueness result for the fractional Schrödinger-Poisson system with strong singularityWang Li0Chen Renhua1Zhong Qiaocheng2Wang Jun3Li Fang4College of Science, East China Jiaotong University, Nanchang 330013, ChinaCollege of Science, East China Jiaotong University, Nanchang 330013, ChinaGuangdong Liangyang Senior High School, Guangdong 518100, ChinaDepartment of Mathematics, Sun Yat-sen University, Guangzhou 510275, ChinaSchool of Information Engineering, Jingdezhen Ceramic University, Jingdezhen 333403, ChinaThis article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.https://doi.org/10.1515/math-2024-0076fractional schrödinger-poisson systemstrong singularityuniquenesspositive solutions35a1535b0935b3835j75 |
| spellingShingle | Wang Li Chen Renhua Zhong Qiaocheng Wang Jun Li Fang A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity Open Mathematics fractional schrödinger-poisson system strong singularity uniqueness positive solutions 35a15 35b09 35b38 35j75 |
| title | A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity |
| title_full | A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity |
| title_fullStr | A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity |
| title_full_unstemmed | A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity |
| title_short | A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity |
| title_sort | uniqueness result for the fractional schrodinger poisson system with strong singularity |
| topic | fractional schrödinger-poisson system strong singularity uniqueness positive solutions 35a15 35b09 35b38 35j75 |
| url | https://doi.org/10.1515/math-2024-0076 |
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