Weak solutions for some nonlinear elliptic problem with variable exponent and measure data,
Auteur(s):
Stanislas Ouaro and Safimba Soma
Auteur(s) tagués:
Stanislas OUARO ;
Safimba SOMA ;
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