ARTICLE
Existence and uniqueness of renormalized solution to multivalued homogeneous Neumann problem with L1-data.
- Gulf Journal of Mathematics , 13 (2) : 42-66
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Arouna OUEDRAOGO et Tiyamba VALEA
Auteur(s) tagués :
TOUGMA APPOLINAIRE
Renseignée par : VALEA TIYAMBA
Résumé
In this paper, we discuss the existence and uniqueness of renormalized solution to nonlinear multivalued elliptic problem β (u)−div a(x, Du) ∋ f in Ω, with homogeneous Neumann boundary conditions and L 1 -data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.
Mots-clés
Solution renormalisée, existence, unicité, solution entropique