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.

引用

页码：161 / 169

页数：9

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