Classical solutions to the stationaryNavier-Stokes system in exterior domains

In a recent paper [13] we studied the Stokes system by the techniques of the potential theory and we obtained existence of solutions to the boundary value problem and a maximum modulus theorem in both cases of bounded and exterior domains, by requiring the datum to be only continuous. It is of some interest to detect whether the above results continue to hold for the Navier-Stokes system.