Toward Best Isoperimetric Constants for $(H^1,BMO)$-Normal Conformal Metrics on ${\mathbb{R}}^n$, $n\ge 3$

Jie Xiao

The aim of this article is: (a) To establish the existence of the best isoperimetric constants for the $(H^1,BMO)$-normal conformal metrics $e^{2u}|dx{|}^2$ on ${\mathbb{R}}^n$, $n\ge 3…