Existence results to a nonlinear p(k)-Laplacian difference equation

Abstract

In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.Comment: The final version of this paper will be published in Journal of Difference Equations and Applications in 201