Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation

In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation.

Bibliographic Details
Main Authors:	Jiafa Xu, Jie Liu, Donal O'Regan
Format:	Article
Language:	English
Published:	Vilnius University Press 2021-07-01
Series:	Nonlinear Analysis
Subjects:	gauged Schrödinger equation infinitely many solutions Fountain theorem
Online Access:	https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/22496

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spelling	doaj-d0a5ef31d90c4cc98c9710eb4f01a8012021-07-02T21:18:39ZengVilnius University PressNonlinear Analysis1392-51132335-89632021-07-0126410.15388/namc.2021.26.22496Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbationJiafa Xu0Jie Liu1Donal O'Regan2Chongqing Normal UniversityHenan Polytechnic UniversityNational University of Ireland In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/22496gauged Schrödinger equationinfinitely many solutionsFountain theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jiafa Xu Jie Liu Donal O'Regan
spellingShingle	Jiafa Xu Jie Liu Donal O'Regan Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation Nonlinear Analysis gauged Schrödinger equation infinitely many solutions Fountain theorem
author_facet	Jiafa Xu Jie Liu Donal O'Regan
author_sort	Jiafa Xu
title	Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
title_short	Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
title_full	Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
title_fullStr	Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
title_full_unstemmed	Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
title_sort	infinitely many solutions for a gauged nonlinear schrödinger equation with a perturbation
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2021-07-01
description	In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation.
topic	gauged Schrödinger equation infinitely many solutions Fountain theorem
url	https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/22496
work_keys_str_mv	AT jiafaxu infinitelymanysolutionsforagaugednonlinearschrodingerequationwithaperturbation AT jieliu infinitelymanysolutionsforagaugednonlinearschrodingerequationwithaperturbation AT donaloregan infinitelymanysolutionsforagaugednonlinearschrodingerequationwithaperturbation
_version_	1721322207468060672

Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation

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