On the approximation of finite perimeter sets

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

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