Positive solutions of four-point boundary value problems for higher-order p-Laplacian operator

被引：20

作者：

Su, Hua ^{[1
]}

Wang, Baohe

Wei, Zhongli

Zhang, Xiaoyan

机构：

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

[2] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China

[3] Shandong Adm Inst, Shandong 250014, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期

基金：

中国国家自然科学基金;

关键词：

higher-order p-Laplacian operator; four-point singular boundary value problem; positive solutions; fixed-point index theory;

D O I：

10.1016/j.jmaa.2006.07.017

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 nonlinear four-point singular boundary value problem for higher-order with p-Laplacian operator. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear singular boundary value problem with p-Laplacian operator are obtained. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：836 / 851

页数：16

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