Existence of Two Solutions for Nonlinear Difference Equations Involving p(k)-Laplacian Operator and Boundary Value Conditions

Abstract

In this paper, we deal with the existence of at least two solutions for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value conditions. The technical approach is based on a two critical points theorem for differentiable functionals. Two examples are inserted to illustrate the importance of main results../files/site1/files/62/6Abstract.pdf

Keywords

• discrete nonlinear boundary value problems
• nontrivial solution
• variational methods
• critical point theory