  In this article we study some Liouville-type theorems for the stationary 3D
Navier-Stokes equations. These results are related to the uniqueness of weak
solutions for this system under some additional information over the velocity
field, which is usually stated in the literature in terms of Lebesgue, Morrey
or BMO^--1 spaces. Here we will consider Lebesgue spaces of variable exponent
which will provide us with some interesting flexibility.
