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.
|Number of pages
|Journal of Difference Equations and Applications
|Published - 3 Oct. 2017
- Discrete nonlinear boundary value problem
- critical point theory
- non trivial solution
- variational methods