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

被引:0
作者
Xu, Jiafa [1 ]
Liu, Jie [2 ]
O'Regan, Donal [3 ]
机构
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2021年 / 26卷 / 04期
基金
中国博士后科学基金;
关键词
gauged Schrodinger equation; infinitely many solutions; Fountain theorem; STANDING WAVES; EXISTENCE; SYSTEM; NONEXISTENCE; MULTIPLICITY;
D O I
10.15388/namc.2021.26.22496
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrodinger equation with a perturbation in R-2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation.
引用
收藏
页码:626 / 641
页数:16
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