Positive solutions for one-dimensional p-Laplacian boundary value problems with dependence on the first order derivative

被引：0

作者：

Wang, ZY ^{[1
]}

Zhang, JH ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 314卷 / 02期

关键词：

one-dimensional p-Laplacian; positive solutions; fixed point theorem;

D O I：

10.1016/j.jmaa.2005.04.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents sufficient conditions for the existence and multiplicity of positive solutions to the one-dimensional p-Laplacian differential equation (phi p (u'))' + a(t)f(u, u') = 0, subject to some boundary conditions. We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：618 / 630

页数：13

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