Multiple solutions for a nonhomogeneous Dirichlet problem in Orlicz-Sobolev spaces

被引：20

作者：

Cammaroto, F. ^{[1
]}

Vilasi, L. ^{[1
]}

机构：

[1] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 23期

关键词：

Orlicz-Sobolev space; Nonhomogeneous differential operator; Critical point; Weak solution; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-OPERATORS; EIGENVALUE PROBLEM;

D O I：

10.1016/j.amc.2012.05.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, moving within the framework of Orlicz-Sobolev spaces, we guarantee through variational arguments the existence of three weak solutions to the nonhomogeneous boundary value problem: -div(a(vertical bar del u(x)vertical bar)del u(x)) = lambda f(x, u) + mu g(x, u) in Omega, u = 0 on partial derivative Omega, with Omega bounded domain in R-n with smooth boundary Omega partial derivative, lambda, mu real parameters, f, g : Omega x R -> R Caratheodory functions and the function t -> a(vertical bar t vertical bar)t odd, increasing homeomorphism from R onto R. Applications and comparisons are also presented; in particular, we improve a result for an eigenvalue problem established by Mihailescu and Repovs in [15]. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：11518 / 11527

页数：10

共 26 条

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[3]

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