Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations

Author:

Ouaro Stanislas1,Zoungrana Malick2

Affiliation:

1. 1Université Ouaga I Pr Joseph KI-ZERBO, Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Département de Mathématiques, B.P.7021 Ouagadougou 03, Burkina Faso

2. 2Université Ouaga I Pr Joseph KI-ZERBO, Unité de Formation et de Recherche en Sciences Exactes et Appliquées, Département de Mathématiques, B.P.7021 Ouagadougou 03, Burkina Faso

Abstract

AbstractIn this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points theorem, for locally Lipschitz continuous fonctions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

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