A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions

Consider the 3D homogeneous stationary Navier-Stokes equations in the whole space R3. We deal with solutions vanishing at infinity in the class of the finite Dirichlet integral. By means of quantities having the same scaling property as the Dirichlet integral, we establish new a priori estimates. As an application, we prove the Liouville theorem in the marginal case of scaling invariance.