NON-LOCAL BOUNDARY CONDITIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH BOUNDED DATA AND GENERAL FUNCTIONS,
Auteur(s):
STANISLAS OUARO AND SAFIMBA SOMA
Auteur(s) tagués:
Safimba SOMA ;
Stanislas OUARO ;
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.