SUBCRITICAL AND SUPERCRITICAL KLEIN-GORDON-MAXWELL EQUATIONS WITHOUT AMBROSETTI-RABINOWITZ CONDITION

被引：2

作者：

Cunha, Patricia L. ^{[1
]}

机构：

[1] ICMC USP, Dept Matemat, Sao Carlos, SP, Brazil

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 3-4期

基金：

巴西圣保罗研究基金会;

关键词：

GROUND-STATE SOLUTIONS; SOLITARY WAVES; NONEXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical and supercritical growth which does not require the usual Ambrosetti-Rabinowitz condition. The proof is based on variational methods and perturbation arguments.

引用

页码：387 / 399

页数：13

共 14 条

[11]

Ekeland I., 1990, Convexity methods in Hamiltonian mechanics

[12] A positive solution for an asymptotically linear elliptic problem on RN autonomous at infinity [J].