Existence of a renormalized solution to a nonlinear elliptic equation with $L_1$-data in the space $\mathbb{R}^n$

We consider a second-order quasilinear elliptic equation with an integrable right-hand side in the space $\mathbb{R}^n.$ Restrictions on the structure of the equation are formulated in terms of a generalized $N$-function. In the nonreflexive Muzilak–Orlicz–Sobolev spaces, the existence of a renormalized solution in the space $\mathbb{R}^n$ is proved.