Singular quasilinear elliptic problems with indefinite weights and critical potential

被引：1

作者：

Jia, Gao ^{[1
]}

Zhao, Qing ^{[1
]}

Dai, Chun-yan ^{[1
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Picone's identity; Hardy inequality; critical potential; Mountain Pass Lemma;

D O I：

10.1007/s10255-012-0131-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet problem for a quasilinear sub-critical inhomogeneous elliptic equation with critical potential and singular coefficients, which has indefinite weights in R (N) , is studied in this paper. We discuss the corresponding eigenvalue problems by the variational techniques and Picone's identity, and obtain the existence of non-trivial solutions for the inhomogeneous Dirichlet problem by using Hardy inequality, Mountain Pass Lemma in conjunction with the property of eigenvalues.

引用

页码：157 / 164

页数：8

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