Existence of three distinct solutions to boundary value problems of nonlinear differential equations with a p-Laplacian operator

被引：5

作者：

Xie, Jingli ^{[1
,2
]}

Luo, Zhiguo ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 27卷

关键词：

Critical point theorem; Three solutions; Boundary value problem; CRITICAL-POINTS THEOREM; VARIATIONAL-METHODS; POSITIVE SOLUTIONS; MULTIPLICITY;

D O I：

10.1016/j.aml.2013.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by employing a critical point theorem, we establish the existence of three distinct solutions to boundary value problems of nonlinear differential equations with a p-Laplacian operator. To demonstrate the applicability of the our results, we also present an example. (C) 2013 Published by Elsevier Ltd

引用

页码：101 / 106

页数：6

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