THREE SOLUTIONS FOR SINGULAR p-LAPLACIAN TYPE EQUATIONS

被引：0

作者：

Yang, Zhou ^{[1
]}

Geng, Di ^{[1
]}

Yan, Huiwen ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

基金：

中国国家自然科学基金;

关键词：

p-Laplacian operator; singularity; multiple solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the singular p-Laplacian type equation -div(vertical bar x vertical bar(-beta) a(x, del u)) = lambda f(x, u), in Omega, u = 0, on partial derivative Omega, where 0 <= beta < N - p, Omega is a smooth bounded domain in R-N containing the origin, f satisfies some growth and singularity conditions. Under some mild assumptions on a, applying the three critical points theorem developed by Bonanno, we establish the existence of at least three distinct weak solutions to the above problem if f admits some hypotheses on the behavior at u = 0 or perturbation property.

引用

页数：12

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