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||18|
|Journal||Journal of Difference Equations and Applications|
|Publication status||Published - 3 Oct. 2017|
- critical point theory
- Discrete nonlinear boundary value problem
- non trivial solution
- variational methods