Existence and multiplicity of homoclinic solutions for a difference equation
Date
2020-11-23
Authors
Heidarkhani, Shapour
Gharehgazlouei, Fariba
Imbesi, Maurizio
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
The aim of this article is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. Our approach is based on variational methods.
Description
Keywords
Difference equations, Discrete p-Laplacian, Variational methods
Citation
Heidarkhani, S., Gharehgazlouei, F., & Imbesi, M. (2020). Existence and multiplicity of homoclinic solutions for a difference equation. <i>Electronic Journal of Differential Equations, 2020</i>(115), pp. 1-12.
Rights
Attribution 4.0 International