Advances in Difference Equations (Jan 2010)
On Homoclinic Solutions of a Semilinear <inline-formula><graphic file="1687-1847-2010-195376-i1.gif"/></inline-formula>-Laplacian Difference Equation with Periodic Coefficients
Abstract
We study the existence of homoclinic solutions for semilinear -Laplacian difference equations with periodic coefficients. The proof of the main result is based on Brezis-Nirenberg's Mountain Pass Theorem. Several examples and remarks are given.
