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
收藏
页码：836 / 851
页数：16
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