On a Bi-nonlocal fourth-order difference problem involving the p(k)-Laplacian type operator

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Résumé

In this paper, we study a class of bi-nonlocal fourth-order discrete problems involving p(k)-Laplacian operator in a finite dimensional Banach space. By using the variational method and the (S+) mapping theory, we investigate the existence and multi- plicity of nontrivial solutions, subject to the condition that the parameters are sufficiently large

Mots-clés

Bi-nonlocal problem, Kirchhoff type equation, Mixed boundary conditions, Mountain pass Theorem