Positive solutions for elliptic equations involving nonlinearities with falling zeroes

被引：15

作者：

Lee, Eun Kyoung ^{[1
]}

Shivaji, R. ^{[1
]}

Ye, Jinglong

机构：

[1] Mississippi State Univ, Dept Math & Stat, Ctr Computat Sci, Mississippi State, MS 39762 USA

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 06期

关键词：

p-Laplacian systems; Falling zero; Positive solutions; P-LAPLACIAN SYSTEMS; EXISTENCE RESULT;

D O I：

10.1016/j.aml.2008.08.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study classes of boundary value problems involving the p-Laplacian operator and nonlinearities which have failing zeroes. We analyze the existence and multiplicity of positive solutions when a parameter is large. We use the method of sub-supersolutions to establish our results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：846 / 851

页数：6

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