ARTICLE
Weak solutions for some nonlinear elliptic problem with variable exponent and measure data
- Int. J. Dynamical Systems and Differential Equations , (1) : 103-125
Discipline :
Mathématiques
Auteur(s) :
Stanislas Ouaro and Safimba Soma
Auteur(s) tagués :
OUARO Stanislas
SOMA Safimba
Renseignée par : OUARO Stanislas
Résumé
We prove the existence of weak solutions to nonlinear elliptic equations with variable exponent and measure data. The functional setting involves Lebesgue-Sobolev spaces with variable exponent and Marcinkiewicz spaces.
Mots-clés
generalised Lebesgue-Sobolev spaces, weak solution, bounded Radon measure, p(x)-Laplace operator, electrorheological fluids, Marcinkiewicz spaces