Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application

被引：0

作者：

Lee, Yong-Hoon ^{[1
]}

Kim, Seong-Uk ^{[2
]}

Lee, Eun Kyoung ^{[3
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

[2] Univ Alabama Birmingham, Dept Math, Birmingham, AL 35294 USA

[3] Pusan Natl Univ, Dept Math Educ, Pusan 609735, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

新加坡国家研究基金会;

关键词：

EXISTENCE;

D O I：

10.1155/2014/502756

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Amann type three solutions theorem for one dimensional p-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.

引用

页数：9

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