Inserted: 2 may 2014
Last Updated: 25 mar 2016
Journal: Proc. Roy. Soc. Edinburgh Sect. A
We generalize to the anisotropic case some classical and recent results on the $(n-1)$-Minkowski content of rectifiable sets in $\mathbb R^n$, and on the outer Minkowski content of subsets of $\mathbb R^n$. In particular, a general formula for the anisotropic outer Minkowski content is provided and applies to a wide class of sets, stable under finite unions.