On the existence of renormalized solution for some nonlinear parabolic problems in Musielak-Orlicz spaces

Résumé

In this paper, we will prove in Musielak–Orlicz spaces, the existence of renormalized solution for nonlinear parabolic problems of Leray-Lions type, in the case where the Musielak–Orlicz function \varphi doesn’t satisfy the \Delta_2-condition while the right hand side f belongs to L^1(Q_{T}).