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.
Perturbed Kirchhoff-type Neumann problems in Orlicz–Sobolev spaces / Ferrara, Massimiliano; Heidarkhani, S; Caristi, G. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 71:10(2016), pp. 2008-2019. [10.1016/j.camwa.2016.03.019]
Perturbed Kirchhoff-type Neumann problems in Orlicz–Sobolev spaces
FERRARA, MassimilianoSupervision
;
2016-01-01
Abstract
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.| File | Dimensione | Formato | |
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