Infinitely many solutions for a class of sublinear Schrodinger-Maxwell equations

被引：61

作者：

Sun, Juntao ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 390卷 / 02期

关键词：

Schrodinger-Maxwell equations; Sublinear; Variant fountain theorem; Variational methods; GROUND-STATE SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.jmaa.2012.01.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of infinitely many solutions for a class of sublinear Schrodinger-Maxwell equations. The proof is based on the variant fountain theorem established by Zou. Recent results from the literature are extended. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：514 / 522

页数：9

共 50 条

[31] SEMICLASSICAL SOLUTIONS FOR THE NONLINEAR SCHRODINGER-MAXWELL EQUATIONS WITH CRITICAL NONLINEARITY
Huang, Wen-nian
Tang, X. H.
TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (04): : 1203 - 1217
[32] Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials
Wen Guan
Da-Bin Wang
Xinan Hao
Journal of Inequalities and Applications, 2020
[33] Multiple solutions for a class of sublinear Schrodinger equations
Zhang, Qingye
Wang, Qi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) : 511 - 518
[34] Infinitely many homoclinic solutions for sublinear and nonperiodic Schrodinger lattice systems
Chen, Guanwei
Sun, Jijiang
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[35] Infinitely many solutions to a quasilinear Schrodinger equation with a local sublinear term
Liang, Zhanping
Gao, Jinfeng
Li, Anran
APPLIED MATHEMATICS LETTERS, 2019, 89 : 22 - 27
[36] A semilinear system of Schrodinger-Maxwell equations
Boccardo, Lucio
Orsina, Luigi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 194
[37] Existence of infinitely many solutions of Dirac equations with sublinear nonlinearity
Xu Yang
Nonlinear Differential Equations and Applications NoDEA, 2017, 24
[38] Existence of infinitely many solutions of Dirac equations with sublinear nonlinearity
Yang, Xu
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2017, 24 (03):
[39] Ground-State Solutions for Asymptotically Cubic Schrodinger-Maxwell Equations
Huang, Wen-nian
Tang, X. H.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 3469 - 3481
[40] Existence Solutions for a Class of Schrodinger-Maxwell Systems with Steep Well Potential
Yang, Guocui
Duan, Shengzhong
JOURNAL OF FUNCTION SPACES, 2022, 2022

← 1 2 3 4 5 →