A Nonlinear Klein-Gordon-Maxwell System in R2 Involving Singular and Vanishing Potentials

被引：6

作者：

Albuquerque, Francisco S. B. ^{[1
]}

Li, Lin ^{[2
]}

机构：

[1] Univ Estadual Paraiba, Dept Matemat, BR-58429500 Campina Grande, PB, Brazil

[2] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2019年 / 38卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Klein-Gordon-Maxwell system; Trudinger-Moser inequality; radial potentials; exponential critical growth; Mountain-Pass Theorem; SOLITARY WAVES; SCHRODINGER-EQUATIONS;

D O I：

10.4171/ZAA/1636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear Klein-Gordon-Maxwell system in R-2 and involving singular and vanishing potentials is considered. Under some mild assumptions on the potentials and nonlinearity, using variational methods and a Trudinger-Moser type inequality, we establish sufficient conditions for the existence of solution.

引用

页码：231 / 247

页数：17

共 26 条

[1] A singular Moser-Trudinger embedding and its applications [J].

Adimurthi ;

Sandeep, K. .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 13 (5-6) :585-603

[2]

Albuquerque F. S. B., TOPOL METHODS NONLIN

[3] Nonlinear Schrodinger equation with unbounded or decaying radial potentials involving exponential critical growth in R2 [J].

Albuquerque, Francisco S. B. ;

Alves, Claudianor O. ;

Medeiros, Everaldo S. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (02) :1021-1031

[4]

Ambrosetti A, 2005, J EUR MATH SOC, V7, P117

[5]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[6] 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

[7] Solitons and the electromagnetic field [J].

Benci, V ;

Fortunato, D ;

Masiello, A ;

Pisani, L .

MATHEMATISCHE ZEITSCHRIFT, 1999, 232 (01) :73-102

[8] 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

[9]

Benci V, 2008, ADV NONLINEAR STUD, V8, P327

[10] 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

← 1 2 3 →