ARTICLE
Entropy solution to nonlinear multivalued elliptic problem with variable exponents and measure data.
- An. Univ. Craiova, Ser. Mat. Inf. , 40 (2) : 174-198
Discipline :
Mathématiques
Auteur(s) :
I. Nyanquini, S. Ouaro, S. Soma
Auteur(s) tagués :
SOMA Safimba
Renseignée par : OUARO Stanislas
Résumé
We study a nonlinear elliptic problem governed by a general Leray-Lions operator with variable exponents and diffuse Radon measure data that does not charge the sets of zero p(⋅)-capacity. We prove a decomposition theorem for these measures (more precisely, as a sum of a function in L1(Ω) and of a measure in W−1,p′(⋅)(Ω)) and an existence and uniqueness result of entropy solution.
Mots-clés
diffuse measure; biting lemma of Chacon; maximal monotone graph; Radon measure data; weak solution; entropy solution; Leray-Lions operator