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.
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页码：476 / 485
页数：10
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