The existence of positive solutions for nonlinear singular boundary value system with p-Laplacian

被引：25

作者：

Su, Hua ^{[1
]}

Wei, Zhongli

Xu, Fuyi

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

[3] Shandong Technol Univ, Sch Math & Informat Sci, Shandong 255049, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期

关键词：

p-Laplacian operator; singular boundary value problem; positive solution;

D O I：

10.1016/j.amc.2006.02.017

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 nonlinear singular boundary value problem with p-Laplacian: [GRAPHICS] where phi(p)vertical bar s vertical bar = vertical bar s vertical bar(p-2)s, p > 1, f is lower semi-continuous functions. By using the fixed-point theorem of cone expansion and compression of norm type, the existence of positive solution and infinitely many positive solutions for nonlinear singular boundary value problem p-Laplacian are obtained. (c) 2006 Elsevier Inc. All rights reserved.

引用

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页码：826 / 836

页数：11

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