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
收藏
页码：157 / 164
页数：8
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