Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent,
Lien de l'article:
DOI 10.1515/anona-2014-0010
Auteur(s):
Stanislas Ouaro, Arouna Ouedraogo and Safimba Soma
Auteur(s) tagués:
Stanislas OUARO ;
Safimba SOMA ;
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