On the approximation of finite perimeter sets

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +2

We prove that if $\hat{I}\text{c◯}\subseteq {\mathbb{R}}^N$ is a set with finite perimeter with ${\mathcal{H}}^{N-1}(\partial \hat{I}\text{c◯}\setminus {\partial }^{\ast }\hat{I}\text{c◯})=0$, then any set of finite perimeter $E\subsete…