Existence of positive solutions for nonlinear singular boundary value problem with p-Laplacian

被引：0

作者：

Ji, Dehong ^{[1
,2
]}

Yang, Yitao ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Sturm-Liouville-like four-point singular boundary value problem; p-Laplacian; positive solutions; STURM-LIOUVILLE OPERATOR; EIGENVALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; KIND;

D O I：

10.1002/mma.1162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for the following Sturm-Liouville-like four-point singular boundary value problem (BVP) with p-Laplacian (phi(p)(u'(t)))' + q(t)f(u(t)) = 0, t is an element of (0,1) u(0) - alpha u'(xi) = 0, u(1) + beta u'(eta) = 0 where phi(p)(s) = vertical bar s vertical bar(p-2) s, p > 1, f is a lower semi-continuous function. Using the fixed-point theorem of cone expansion and compression of norm type, the existence of positive solution and infinitely many positive solutions for Sturm-Liouville-like singular BVP with p-Laplacian are obtained. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：188 / 197

页数：10

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