A sharp isoperimetric inequality and the top order $Q$-curvature

Mingxiang Li, Xingwang Xu

For a smooth, complete and normal metric $g=e^{2u}|dx{|}^2$ with finite total $n$-th order $Q$-curvature on ${\mathbb{R}}^n$ with dimension $n\ge 2$, we first show that everywhere…