Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces.

In this paper we mainly prove the existence and uniqueness of entropy solutions and the uniqueness of renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces. Moreover, we also obtain the equivalence of entropy solutions and renormalized solutions in the present conditions. [ABSTRACT FROM AUTHOR]