A Liouville type theorem for the stationary compressible Navier–Stokes equations

The present paper is dedicated to the Liouville type problem for the three-dimensional stationary barotropic compressible Navier–Stokes equations. We show that the velocity is trivial under some additional assumptions stated in terms of Lebesgue and BMO-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathrm {BMO}^{-1} $$\end{document} spaces.