1. Department of Mathematics , West University of Timi?oara , 4, Blvd. V. Parvan, RO-300223, Timi?oara , Romania cserban2005@yahoo.com
Abstract:
We are concerned with the existence of solutions for some discrete p-Laplacian equations subjected to a potential type boundary condition. Our approach is a variational one and relies on Szulkin's critical point theory. We obtain the existence of solutions in a coercive case as well as the existence of non-trivial solutions when the corresponding energy functional has a ‘mountain pass’ geometry.