Détails Publication
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent,
Lien de l'article: DOI 10.1515/anona-2014-0010
Discipline: Mathématiques
Auteur(s): Stanislas Ouaro, Arouna Ouedraogo and Safimba Soma
Auteur(s) tagués:
OUARO Stanislas ;
SOMA Safimba
Renseignée par : OUARO Stanislas
Résumé
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero 𝑝( ⋅ )-capacity. We prove an existence and uniqueness result of a weak solution.
Mots-clés
Robin boundary condition, diffuse measure, Biting Lemma of Chacon, maximal monotone graph, Radon measure data, weak solution, entropic solution, Leray–Lions operator, subdifferential operator