Multiple solutions for the nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory on R3

被引：15

作者：

Chen, Shang-Jie ^{[1
]}

Li, Lin ^{[2
]}

机构：

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

[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 400卷 / 02期

关键词：

Klein-Gordon equation; Born-Infeld theory; Nonhomogeneous; Superlinear; Ekeland's variational principle; Mountain Pass Theorem; Variational methods; SOLITARY WAVES; EXISTENCE; MAXWELL;

D O I：

10.1016/j.jmaa.2012.10.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of multiple solutions for the following nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory, {-Delta u + [m(2) - (omega + phi)(2)]u = vertical bar u vertical bar(q-2)u + h(x), in R-3, Delta phi + beta Delta(4)phi = 4 pi (omega + phi)u(2), in R-3, when 2 <q < 6. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：517 / 524

页数：8

共 21 条

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