  We prove the existence of weak solutions to the steady compressible
Navier-Stokes system in the barotropic case for a class of pressure laws
singular at vacuum. We consider the problem in a bounded domain in R^2 with
slip boundary conditions. Due to appropriate construction of approximate
solutions used in proof, obtained density is bounded away from 0 (and
infinity). Owing to a classical result by P.-L. Lions, this implies that
density and gradient of velocity are at least H\"older continuous, which does
not generally hold for the classical isentropic model in the presence of
vacuum.
