Uniqueness of Leray solutions of the 3D Navier-Stokes equations is a
challenging open problem. In this article we will study this problem for the 3D
stationary Navier-Stokes equations and under some additional hypotheses, stated
in terms of Lebesgue and Morrey spaces, we will show that the trivial solution
U = 0 is the unique solution. This type of results are known as Liouville
theorems