ARTICLE
Existence of Nontrivial Weak Solutions for Some Discrete p(.)-Laplacian Boundary Value Problems in n-Dimensional
- Asia Pacific Journal of Mathematics
Lien de l'article :
https://doi.org/10.28924/apjm/10-33
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Idrissa Ibrango, Denis Ouédraogo, Aboudramane Guiro
Auteur(s) tagués :
GUIRO Aboudramane
Renseignée par : GUIRO Aboudramane
Résumé
This paper is devoted to the study of the existence results for weak solutions to some p(.)-Laplacian problem in n-dimensional space.Under suitable conditions, using the method of the critical point theory, we obtain the existence of nontrivial solutions for an energy functional.By unknown reasons this type of problems had not been studied previously for n > 2.
Mots-clés
p(x)-Laplacian, discrete boundary value problems, weak solutions, nontrivial solutions, critical point theory, energy functional