ARTICLE
Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
- Nonautonomous Dynamical Systems , 7 : 22-31
Lien de l'article :
https://doi.org/10.1515/msds-2020-0002
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Idrissa Ibrango, Rodrigue Sanou, Blaise Koné, Aboudramane Guiro
Auteur(s) tagués :
GUIRO Aboudramane
Renseignée par : GUIRO Aboudramane
Résumé
Abstract
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method. We also extend the problem by using generalized penality and source functions.
Mots-clés
weak solutions, homoclinic solutions, variable exponent, p(x)-Laplacian, minimization method, source term