Sharp bounds for the anisotropic $p$-capacity of Euclidean compact sets

Ruixuan Li, Changwei Xiong

We prove various sharp bounds for the anisotropic $p$-capacity ${\mathrm{Cap}}_{F,p}(K)$ ($1<p<n$) of compact sets $K$ in the Euclidean space ${\mathbb{R}}^n$ ($n\ge 3$). For example,…