In this article, we are concerned with the following geometric equation \begin{ equation}\label{ MainEq} \Delta^2 u = -u^{ -q} \qquad \text{ in } \mathbf{ R}^3 \end{ equation} for $q>0$. Recently in \cite{ GWZ18}, Guo, Wei and Zhou have established the relationship between the radial symmetry and the exact growth rate at infinity of a positive entire solution of that equation as $1<q<3$. The aim of this paper is to obtain the similar result in the case $q>3$ thanks to the method of moving plane.
Categories: math.AP