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.
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页码：517 / 524
页数：8
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