INFINITELY MANY SOLUTIONS OF DIRICHLET PROBLEM FOR p-MEAN CURVATURE OPERATOR

被引：0

作者：

Chen Zhihui Shen YaotianDept.of Appl.Math.

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2003年 / 02期

基金：

中国国家自然科学基金;

关键词：

mean curvature operator; critical points; (PSC) condition;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

The existence of infinitely many solutions of the following Dirichlet problem for p-mean curvature operator:-div((1+|u| 2) p-22u)=f(x,u),\ x∈Ω, u∈W 1,p 0(Ω),is considered, where Ω is a bounded domain in R n(n>p>1) with smooth boundary Ω.Under some natural conditions together with some conditions weaker than (AR) condition,we prove that the above problem has infinitely many solutions by a symmetric version of the Mountain Pass Theorem if f(x,u)|u| p-2u→+∞ as u→∞.

引用

页码：161 / 172

页数：12

共 5 条

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