The existence of symmetric positive solutions for Sturm-Liouville-like four-point boundary value problem with a p-Laplacian operator

被引：9

作者：

Ji, Dehong ^{[1
]}

Ge, Weigao

Yang, Yitao

机构：

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

[2] Qufu Normal Univ, Inst Automat, Shandong 273165, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Sturm-Liouville-like four-point boundary value problem; p-Laplacian operator; symmetric positive solutions; fixed point index theory;

D O I：

10.1016/j.amc.2006.11.160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, the Sturm-Liouville-like four-point boundary value problem with a p-Laplacian operator (Phi(p)(u '))'(t) + lambda.a(t)f(t,u(t)) =0, t is an element of (0,1), u(0) - xu '(xi) =0, u(1) + chi u '(eta) = 0 is studied, where Phi(p)(s) = vertical bar s vertical bar(p-2)s, p > 1. By the use of fixed point index theory, Leray-Schauder degree and upper and lower solution method, some existence, nonexistence and multiplicity results of symmetric positive solutions are acquired. (c) 2006 Published by Elsevier Inc.

引用

页码：1087 / 1098

页数：12

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