Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN

A nonnegative nontrivial solution of the quasilinear elliptic differential equation (1.1) below on the entire space is obtained. The function φ(<i>t</i>)<i>t</i> in the principal part is nonhomogeneous and <i>b</i>(<i>t</i>)<i>t</i> has the critical Orlicz-Sobolev growth with respect to φ.