Existence of multiple positive solutions for multipoint boundary value problems with a one-dimensional p-Laplacian

被引：28

作者：

Wang, Youyu ^{[1
]}

Ge, Weigao ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 02期

基金：

中国国家自然科学基金;

关键词：

multiple positive solutions; boundary value problems; one-dimensional p-Laplacian;

D O I：

10.1016/j.na.2006.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the multipoint boundary value problem for a one-dimensional p-Laplacian: (phi(p) (u'))' + a(t) f (t, u) = 0, t is an element of (0, 1) u(0) = 0, u(1) = Sigma(m-2)(i=1) a(i)u(xi i), where phi(p)(s) = \s\(p-2)s, p > 1, 0 < xi(1) < xi(2) < ... <xi(m-2) < 1, a(i) >= 0, for i = 1, 2,..., m - 3 and a(m-2) > 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：476 / 485

页数：10

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