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

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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.

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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.

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Attribution 4.0 International

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