Positive solutions for a fourth order p-Laplacian boundary value problem

被引：23

作者：

Xu, Jiafa ^{[1
]}

Yang, Zhilin ^{[1
]}

机构：

[1] Qingdao Technol Univ, Dept Math, Qingdao, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 07期

关键词：

p-Laplacian equation; Positive solution; Fixed point index; Upper and lower solution; Iterative sequence; PERIODIC-SOLUTIONS; EXISTENCE; EQUATION; UNIQUENESS; MODEL; FLOW;

D O I：

10.1016/j.na.2010.12.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence, multiplicity and uniqueness of positive solutions for the fourth order p-Laplacian boundary value problem. {(vertical bar u ''vertical bar(p-1)u '')'' = f (t, u), u((2i))(0) = u((2i))(1) = 0, i = 0, 1. Here p > 0 and f is an element of C([0, 1] x R+, R+) (R+ := [0,infinity)). Based on a priori estimates achieved by utilizing properties of concave functions, we use fixed point index theory to establish our main results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2612 / 2623

页数：12

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