Heteroclinic solutions for damped p-Laplacian difference equations

"In this paper, we investigate the existence of heteroclinic solutions for a class of p-Laplacian difference equations with a parameter. The proof of the main theorem is variational and based on the use of the Mountain Pass Theorem. Our results successfully improve recent ones in the literature and partially answer an open problem proposed by Cabada and Tersian in [23]."