On the stationary Navier–Stokes equations in exterior domains

This paper is concerned with the existence and uniqueness questions on weak solutions of the stationary Navier–Stokes equations in an exterior domain ΩΩ in R3R3, where the external force is given by divF with F=F(x)=(Fji(x))i,j=1,2,3. First, we prove the existence and uniqueness of a weak solution for F∈L3/2,∞(Ω)∩Lp,q(Ω)F∈L3/2,∞(Ω)∩Lp,q(Ω) with 3/2