Double positive solutions for a nonlinear four-point boundary value problem with a p-Laplacian operator

被引：8

作者：

Liang, Ruixi ^{[1
]}

Peng, Jun ^{[2
]}

Shen, Jianhua ^{[1
,3
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Cent S Univ, Dept Math, Changsha 410083, Peoples R China

[3] Coll Huaihua, Dept Math, Huaihua 418008, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 07期

基金：

日本学术振兴会; 澳大利亚研究理事会;

关键词：

p-Laplacian operator; positive solution; fixed point theorem; four-point boundary value problem;

D O I：

10.1016/j.na.2007.01.058

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 a nonlinear four-point boundary value problem with a p-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the nonlinear four-point boundary value problem with a p-Laplacian operator is obtained, which is different from the previous ones. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1881 / 1889

页数：9

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