Entropy solution to nonlinear multivalued elliptic problem with variable exponents and measure data,
Auteur(s):
Ismae ̈l Nyanquini, Stanislas Ouaro, and Safimba Soma
Auteur(s) tagués:
Safimba SOMA ;
Stanislas OUARO ;
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