Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity

We study the existence and multiplicity of nontrivial solutions for a Schrödinger–Poisson system involving critical nonlocal term and general nonlinearity. Based on the variational method and analysis technique, we obtain the existence of two nontrivial solutions for this system.

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Main Authors: Jiafeng Zhang, Wei Guo, Changmu Chu, Hongmin Suo
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/2197207
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author Jiafeng Zhang
Wei Guo
Changmu Chu
Hongmin Suo
author_facet Jiafeng Zhang
Wei Guo
Changmu Chu
Hongmin Suo
author_sort Jiafeng Zhang
collection DOAJ
description We study the existence and multiplicity of nontrivial solutions for a Schrödinger–Poisson system involving critical nonlocal term and general nonlinearity. Based on the variational method and analysis technique, we obtain the existence of two nontrivial solutions for this system.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-198bdb05ded049668567cab4b6f24e462025-02-03T06:46:32ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/21972072197207Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General NonlinearityJiafeng Zhang0Wei Guo1Changmu Chu2Hongmin Suo3School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaWe study the existence and multiplicity of nontrivial solutions for a Schrödinger–Poisson system involving critical nonlocal term and general nonlinearity. Based on the variational method and analysis technique, we obtain the existence of two nontrivial solutions for this system.http://dx.doi.org/10.1155/2020/2197207
spellingShingle Jiafeng Zhang
Wei Guo
Changmu Chu
Hongmin Suo
Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity
Journal of Function Spaces
title Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity
title_full Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity
title_fullStr Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity
title_full_unstemmed Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity
title_short Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity
title_sort existence of solutions for a schrodinger poisson system with critical nonlocal term and general nonlinearity
url http://dx.doi.org/10.1155/2020/2197207
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AT weiguo existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity
AT changmuchu existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity
AT hongminsuo existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity