Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems

In this paper, we consider the following nonlinear Schrödinger-Poisson systems. Under suitable conditions on V, K, g, and h, when 1<s<6, we obtain two nontrivial solutions for the problem and when gx,· is odd and 6<s<∞, we obtain infinitely many solutions for the problem.

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Main Authors: Jian Zhou, Yunshun Wu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9980494
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author Jian Zhou
Yunshun Wu
author_facet Jian Zhou
Yunshun Wu
author_sort Jian Zhou
collection DOAJ
description In this paper, we consider the following nonlinear Schrödinger-Poisson systems. Under suitable conditions on V, K, g, and h, when 1<s<6, we obtain two nontrivial solutions for the problem and when gx,· is odd and 6<s<∞, we obtain infinitely many solutions for the problem.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2021-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-9190daf4beb24c0a91f9a8a7a02d10b22025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99804949980494Multiple Standing Waves for Nonlinear Schrödinger-Poisson SystemsJian Zhou0Yunshun Wu1School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, ChinaIn this paper, we consider the following nonlinear Schrödinger-Poisson systems. Under suitable conditions on V, K, g, and h, when 1<s<6, we obtain two nontrivial solutions for the problem and when gx,· is odd and 6<s<∞, we obtain infinitely many solutions for the problem.http://dx.doi.org/10.1155/2021/9980494
spellingShingle Jian Zhou
Yunshun Wu
Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems
Journal of Function Spaces
title Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems
title_full Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems
title_fullStr Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems
title_full_unstemmed Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems
title_short Multiple Standing Waves for Nonlinear Schrödinger-Poisson Systems
title_sort multiple standing waves for nonlinear schrodinger poisson systems
url http://dx.doi.org/10.1155/2021/9980494
work_keys_str_mv AT jianzhou multiplestandingwavesfornonlinearschrodingerpoissonsystems
AT yunshunwu multiplestandingwavesfornonlinearschrodingerpoissonsystems