Multiple solutions for perturbed Kirchhoff-type non-homogeneous Neumann problems through Orlicz-Sobolev spaces
Date
2018-02-08
Authors
Heidarkhani, Shapour
Ferrara, Massimiliano
Caristi, Giuseppe
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We establish the existence of three distinct weak solutions for perturbed Kirchhoff-type non-homogeneous Neumann problems, under suitable assumptions on the nonlinear terms. Our approach is based on recent variational methods for smooth functionals defined on Orlicz-Sobolev spaces.
Description
Keywords
Multiple solutions, Perturbed non-homogeneous Neumann problem, Kirchhoff-type problem, Weak solution, Orlicz-Sobolev space, Variational method
Citation
Heidarkhani, S., Ferrara, M., & Caristi, G. (2018). Multiple solutions for perturbed Kirchhoff-type non-homogeneous Neumann problems through Orlicz-Sobolev spaces. <i>Electronic Journal of Differential Equations, 2018</i>(43), pp. 1-22.