Critical points and positive solutions of singular elliptic boundary value problems

被引：33

作者：

Zhang, ZT ^{[1
]}

机构：

[1] Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 302卷 / 02期

基金：

中国国家自然科学基金;

关键词：

critical points; singular problems; positive solutions;

D O I：

10.1016/j.jmaa.2004.08.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Usually we do not think there is variational structure for singular elliptic boundary value problems, so it cannot be considered by using critical points theory. In this paper, we use critical theory on certain convex closed sets to solve positive solutions for singular elliptic boundary value problems, especially use the ordinary differential equation theory of Banach spaces to obtain new results on the existence of multiple positive solutions. The method is useful for other singular problems. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：476 / 483

页数：8

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