Perturbed Kirchhoff-type Neumann problems in Orlicz-Sobolev spaces

被引：22

作者：

Heidarkhani, Shapour ^{[1
]}

Caristi, Giuseppe ^{[2
]}

Ferrara, Massimiliano ^{[3
]}

机构：

[1] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

[2] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy

[3] Univ Mediterranea Reggio Calabria, Dept Law & Econ, Via Bianchi 2, I-89131 Reggio Di Calabria, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 10期

关键词：

Infinitely many solutions; Perturbed non-homogeneous Neumann problem; Kirchhoff-type problem; Orlicz-Sobolev space; Variational methods; Critical point theory; MULTIPLE SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.camwa.2016.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish the existence of infinitely many solutions for perturbed Kirchhoff-type non-homogeneous Neumann problems involving two parameters. To be precise, we prove that an appropriate oscillating behaviour of the nonlinear term, even under small perturbations, ensures the existence of infinitely many solutions. Our approach is based on recent variational methods for smooth functionals defined on Orlicz-Sobolev spaces. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：2008 / 2019

页数：12

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