ARTICLE
Entropy solution to an elliptic problem with nonlinear boundary conditions
- An. Univ. Craiova, Ser. Mat. Inf , 39 (2) : 148-181
Discipline :
Mathématiques
Auteur(s) :
S. Ouaro, A. Ouédraogo
Auteur(s) tagués :
OUARO Stanislas
Renseignée par : OUARO Stanislas
Résumé
We consider the equation b(u)−diva(u,Du)=f in a bounded domain with nonlinear boundary conditions of the form −a(u,Du)⋅η∈β(x,u). We introduce a notion of entropy solution for this problem and prove existence and uniqueness of this solution for general L1-data
Mots-clés
elliptic problem; entropy solution; nonlinear boundary conditions; capacity; L1-data