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.
Saved in:
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2020-01-01
|
Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2020/2197207 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832546925598998528 |
---|---|
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 |
id | doaj-art-198bdb05ded049668567cab4b6f24e46 |
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 |
work_keys_str_mv | AT jiafengzhang existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity AT weiguo existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity AT changmuchu existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity AT hongminsuo existenceofsolutionsforaschrodingerpoissonsystemwithcriticalnonlocaltermandgeneralnonlinearity |