Geometric properties of Euclidean domains supporting trace inequalities

Weicong Su, Zhuang Wang, Yi Ru-Ya Zhang

We investigate the geometric behavior of $\ddot{I}„(E)$ for bounded finite-perimeter sets $E\subset {\mathbb{R}}^n$, where $\ddot{I}„(E)$ is the trace constant introduced by Figalli--Maggi--Pratel…