Existence of infinitely many solutions for a quasilinear elliptic equation

被引：40

作者：

Zhang, Jian ^{[1
]}

Tang, Xianhua ^{[1
]}

Zhang, Wen ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 37卷

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic equation; Infinitely many solutions; Dual approach; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; MULTIPLE SOLUTIONS;

D O I：

10.1016/j.aml.2014.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following quasilinear elliptic equation -Delta u - Delta(u(2))u = g(x, u), in Omega, u = 0, on partial derivative Omega, where Omega is a bounded smooth domain in R-N. Using some special techniques, the existence of infinitely many solutions is obtained by a dual approach, which unifies and improves the recent result of Liu et al. (2013). (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：131 / 135

页数：5

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