Perturbed Kirchhoff-type Neumann problems in Orlicz-Sobolev spaces

详细信息    查看全文

• 作者：Shapour Heidarkhani^a ; ^{s.heidarkhani@razi.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Giuseppe Caristi^b ; ^{gcaristi@unime.it" class="auth_mail" title="E-mail the corresponding author} ; Massimiliano Ferrara^c ; ^{massimiliano.ferrara@unirc.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Infinitely many solutions ; Perturbed non-homogeneous Neumann problem ; Kirchhoff-type problem ; Orlicz&ndash ; Sobolev space ; Variational methods ; Critical point theory
• 刊名：Computers & Mathematics with Applications
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：71
• 期：10
• 页码：2008-2019
• 全文大小：401 K

文摘

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.