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: Wang Li, Chen Renhua, Zhong Qiaocheng, Wang Jun, Li Fang
Format: Article
Language:English
Published: De Gruyter 2024-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2024-0076
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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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AT wangjun auniquenessresultforthefractionalschrodingerpoissonsystemwithstrongsingularity
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