Klein-Gordon-Maxwell System with Partially Sublinear Nonlinearity

被引:0
作者
Li, Lin [1 ]
Chen, Shang-Jie [1 ]
Song, Shu-Zhi [1 ]
机构
[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2018年 / 9卷 / 02期
关键词
Klein-Gordon-Maxwell system; Variational methods; Critical point theorem; Sublinear;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we shown that a class of sublinear Klein-Gordon-Maxwell system has infinitely many solutions by using a critical point theorem established by Liu and Wang and Moser iteration method.
引用
收藏
页码:239 / 247
页数:9
相关论文
共 24 条
[1]   Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system [J].
Azzollini, A. ;
Pisani, L. ;
Pomponio, A. .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2011, 141 :449-463
[2]  
Azzollini A, 2010, TOPOL METHOD NONL AN, V35, P33
[3]  
Bartsch T, 2005, HBK DIFF EQUAT STATI, V2, P1, DOI 10.1016/S1874-5733(05)80009-9
[4]   Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations [J].
Benci, V ;
Fortunato, D .
REVIEWS IN MATHEMATICAL PHYSICS, 2002, 14 (04) :409-420
[5]  
Candela A. M., 2009, MORE PROGR ANAL, P753
[6]   Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials [J].
Carriao, Paulo C. ;
Cunha, Patricia L. ;
Miyagaki, Olimpio H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (10) :4068-4078
[7]   EXISTENCE RESULTS FOR THE KLEIN-GORDON-MAXWELL EQUATIONS IN HIGHER DIMENSIONS WITH CRITICAL EXPONENTS [J].
Carriao, Paulo C. ;
Cunha, Patricia L. ;
Miyagaki, Olimpio H. .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (02) :709-718
[8]   Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with of Maxwell's equations [J].
Cassani, D .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (7-8) :733-747
[9]   Multiple solutions for nonhomogeneous Klein-Gordon-Maxwell equations on R3 [J].
Chen, Shang-Jie ;
Song, Shu-Zhi .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 22 :259-271
[10]   Multiple solutions for nonhomogeneous Schrodinger-Maxwell and Klein- Gordon-Maxwell equations on R 3 [J].
Chen, Shang-Jie ;
Tang, Chun-Lei .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2010, 17 (05) :559-574