ARTICLE
Elliptic problem involving diffuse measure data
- Journal of Differential Equations , (253) : 3159-3183
Discipline :
Mathématiques
Auteur(s) :
Noureddine Igbida, Stanislas Ouaro and Safimba Soma
Auteur(s) tagués :
OUARO Stanislas
SOMA Safimba
Renseignée par : OUARO Stanislas
Résumé
In this paper, we study a suitable notion of solution for which a nonlinear elliptic problem governed by a general Leray–Lions operator is well posed for any diffuse measure data. In terms of the paper (Brezis et al., 2007, [10]), we study the notion of solution for which any diffuse measure is “good measure”.
Mots-clés
Nonlinear elliptic, Diffuse measure, Biting lemma of Chacon, Maximal monotone graph, Radon measure data, Weak solution, Entropic solution, Leray–Lions operator