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.
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页码：2612 / 2623
页数：12
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