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.
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页码：131 / 135
页数：5
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