Advances in Difference Equations
Volume 2010 (2010), Article ID 862016, 11 pages
Research Article

Three Solutions for a Discrete Nonlinear Neumann Problem Involving the 𝑝 -Laplacian

1DIMET University of Reggio Calabria, Via Graziella (Feo Di Vito), 89100 Reggio Calabria, Italy
2Department of Mathematics of Messina, DIMET University of Reggio Calabria, 89100 Reggio Calabria, Italy

Received 26 October 2010; Accepted 20 December 2010

Academic Editor: E. Thandapani

Copyright © 2010 Pasquale Candito and Giuseppina D'Aguì. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate the existence of at least three solutions for a discrete nonlinear Neumann boundary value problem involving the 𝑝 -Laplacian. Our approach is based on three critical points theorems.