ARTICLE
NON-LOCAL BOUNDARY CONDITIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH BOUNDED DATA AND GENERAL FUNCTIONS
- Journal of Nonlinear Evolution Equations and Applications , Volume 2017 (5) : 65-80
Discipline :
Mathématiques
Auteur(s) :
STANISLAS OUARO AND SAFIMBA SOMA
Auteur(s) tagués :
SOMA Safimba
OUARO Stanislas
Renseignée par : SOMA Safimba
Résumé
In this article, we study the existence and uniqueness of solutions for nonlinear elliptic problems with non-local boundary conditions. In order to get the unique solution, we study first an auxiliary problem, for which we deduce useful a priori estimates. The study of the auxiliary problem gives us the equivalence between this kind of problem and a nonlinear problem with very large diffusion around the boundary.
Mots-clés
Leray–Lions type operator, non-local boundary conditions, operator of type M, standard monotonicity arguments.