On perturbation of a functional with the mountain pass geometry Applications to the nonlinear Schrodinger-Poisson equations and the nonlinear Klein-Gordon-Maxwell equations

被引：40

作者：

Jeong, Wonjeong ^{[1
]}

Seok, Jinmyoung ^{[2
]}

机构：

[1] POSTECH, Dept Math, Pohang 790784, Kyungbuk, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 49卷 / 1-2期

基金：

新加坡国家研究基金会;

关键词：

SCALAR FIELD-EQUATIONS; GROUND-STATE SOLUTIONS; SOLITARY WAVES; EXISTENCE; SYSTEM;

D O I：

10.1007/s00526-013-0595-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a functional with the mountain-pass geometry and a critical point of mountain-pass type. In this paper, we discuss about the existence of critical points around for functionals perturbed from in a suitable sense. As applications, we show the existence of a solution to the nonlinear Schrodinger-Poisson equations and the nonlinear Klein-Gordon-Maxwell equations with quite general class of nonlinearity.

引用

页码：649 / 668

页数：20

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