Détails Publication
Entropy solutions to the obstacle problem for nonlinear elliptic problems with variable exponent and L1-data.,
Discipline: Mathématiques
Auteur(s): S. Ouaro, S. Traoré
Auteur(s) tagués:
OUARO Stanislas
Renseignée par : OUARO Stanislas
Résumé
We establish for L1-data, existence, uniqueness and continuous dependence results to the obstacle problem for nonlinear elliptic equations with variable exponent, where the variable exponent is supposed only measurable. Other classical results about stability properties of the corresponding coincidence set and the Lewy-Stampacchia inequalities are presented
Mots-clés
obstacle problem; variable exponent; entropy solutions; weak energy solutions; coincidence set; Lewy-Stampacchia inequalities