On the superlinear problems involving p(x)-Laplacian-like operators without AR-condition

被引：34
|
作者：
Zhou, Qing-Mei [1 ]
机构：
[1] Northeast Forestry Univ, Harbin 150040, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 21卷
基金：
美国国家科学基金会;
关键词：
p(x)-Laplacian-like; Nonlinear eigenvalue problem; Without the AR-condition; Variational method; Critical points; EXISTENCE; MULTIPLICITY;
D O I：
10.1016/j.nonrwa.2014.07.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, in view of the variational approach, we discuss the nonlinear eigen-value problems for p(x)-Laplacian-like operators, originated from a capillary phenomenon. Under some suitable conditions, we prove the existence of nontrivial solutions of the system for every parameter lambda > 0. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：161 / 169
页数：9
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