Multiple positive solutions to a class of singular boundary value problems for the one-dimensional p-laplacian

被引：0

作者：

Jiang, DQ ^{[1
]}

Xu, XJ ^{[1
]}

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 4-5期

关键词：

multiple positive solutions; fixed-point theorem; p-Laplacian; singular; nonlinear boundary value problem;

D O I：

10.1016/S0898-1221(04)90054-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence of multiple positive solutions to the singular nonlinear boundary value problem (phi(u'))' + q(t)f(u(t)) = 0, 0 < t < 1, u(0) = 0, u(1) + B(u'(1)) = 0, by using the Leray-Schauder alternative and the fixed-point theorem in cones, where phi(s) = \s\(p-2)s, p > 1. The singularity may appear at u = 0 and t = 0. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：667 / 681

页数：15

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