Resumen de Existence of Homoclinic Solutions for the Discrete p(k)-Laplacian Operator

Zakaria El Allali, Lingju Kong, Mohamed Ousbika

• In this paper, we investigate the existence of nontrivial solutions for an anisotropic discrete nonlinear problem with a p(k)-Laplacian operator. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri.