ARTICLE
ON A BI-NONLOCAL FOURTH-ORDER DIFFERENCE PROBLEM INVOLVING THE P(k)-LAPLACIAN TYPE OPERATOR
- Palest. J. Math , 13 (04) : 483-503
Discipline :
Mathématiques
Auteur(s) :
I, Nyanquini, S. Ouaro
Auteur(s) tagués :
OUARO Stanislas
Renseignée par : OUARO Stanislas
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.