Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Haizhong Li, Ruixuan Li, Changwei Xiong

We derive various sharp upper bounds for the $p$-capacity of a smooth compact set $K$ in the hyperbolic space ${\mathbb{H}}^n$ and the Euclidean space ${\mathbb{R}}^n$. Firstly, using…