Solutions for Neumann boundary value problems involving p(x)-Laplace operators

被引：87
|
作者：
Yao, Jinghua [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 05期
基金：
中国国家自然科学基金;
关键词：
variable exponent Lebesgue space; variable exponent Sobolev space; Neumann boundary value problem; mountain pass theorem; fountain theorem; (PS) condition;
D O I：
10.1016/j.na.2006.12.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the nonlinear Neumann boundary value problem of the following form: [GRAPHICS] Using the variational method, under appropriate assumptions on f and g, we obtain a number of results on existence and multiplicity of solutions. Also, what is also interesting is that we obtain some results which can be considered as extensions of the classical result named "combined effects of concave and convex nonlinearities". Moreover, the positive solution of the problem is considered. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：1271 / 1283
页数：13
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