ARTICLE
Weak homoclinic solutions of anisotropic difference equation with variable exponents
- Advances in Differences Equations , 2012
Lien de l'article :
https://doi.org/10.1186/1687-1847-2012-154
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Aboudramane Guiro, Blaise Koné, Stanislas Ouaro
Auteur(s) tagués :
GUIRO Aboudramane
Renseignée par : GUIRO Aboudramane
Résumé
Abstract
In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality.
MSC:47A75, 35B38, 35P30, 34L05, 34L30.
Mots-clés
homoclinic solutions, variable exponent, weak solutions, existence of solutions, minimization method