  We prove the existence and uniqueness of strong solutions to the steady
isentropic compressible Navier-Stokes equations with inflow boundary conditions
for density and mixed boundary conditions for the velocity around a shear flow.
In particular, the Dirichlet boundary condition on inflow and outflow part of
the boundary while the full Navier boundary conditions on the wall $\Gamma_{0}$
for the velocity filed are considered. For our result, there are no
restrictions on the amplitude of friction coefficients $\alpha$, and the
appropriately large hypothesis for the viscous coefficients $\mu$ is enough.
One of the substantial ingredients of our proof is an elegant transformation
induced by the flow field. With the help of this transformation, we can
overcome the difficulties caused by the hyperbolicity of continuity equation,
establish the a priori estimates for a linearized system and apply the fixed
point arguments.
