Outer Minkowski content for some classes of closed sets

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On the Cheeger sets in strips and non-convex domains (2014, methodology): “On the other hand, being A of positive reach and with Lipschitz boundary, we can apply Theorem 9 in [2] to deduce that M(A) = P (A).”
On Statistical Properties of Sets Fulfilling Rolling-Type Conditions (2011, background): “We refer the reader to [1] for general conditions ensuring the existence of the outer Minkowski content and its relation to other measurements of the boundary of S.”
COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS (2011, methodology): “Even though the (variational) perimeter of a set and this notion of surface measure agree for convex sets (Ambrosio et al., 2008), the distinction is important.”