Existence and multiplicity of solutions for a class of quasilinear elliptic equations: An Orlicz-Sobolev space setting

被引：24

作者：

Fang, Fei ^{[1
]}

Tan, Zhong ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Orlicz-Sobolev spaces; Genus theory; Symmetric mountain pass theorem; Fountain theorem; Dual fountain theorem; POSITIVE SOLUTIONS; CONCAVE;

D O I：

10.1016/j.jmaa.2011.11.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and multiplicity of solutions of the following quasilinear elliptic problem {-div(a(vertical bar del u vertical bar)del u) = f(x, u), in Omega, u = 0, on partial derivative Omega, where Omega subset of R-N is a bounded domain with smooth boundary partial derivative Omega. The existence and multiplicity of solutions are obtained by genus theory, symmetric mountain pass lemma, fountain theorem and dual fountain theorem, respectively. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：420 / 428

页数：9

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