Existence and multiplicity of homoclinic solutions for a difference equation

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.
 For more information see https://ejde.math.txstate.edu/Volumes/2020/115/abstr.html