We generalize to the anisotropic case some classical and recent results on the (n-1)-Minkowski content of rectifiable sets in R^n, and on the outer Minkowski content of subsets of R^n. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets, stable under finite unions.
Lussardi, L., Villa, E., A general formula for the anisotropic outer Minkowski content of a set, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2016; 146 (02): 393-413. [doi:10.1017/S0308210515000542] [http://hdl.handle.net/10807/73500]
A general formula for the anisotropic outer Minkowski content of a set
Lussardi, LucaPrimo
;Villa, ElenaUltimo
2016
Abstract
We generalize to the anisotropic case some classical and recent results on the (n-1)-Minkowski content of rectifiable sets in R^n, and on the outer Minkowski content of subsets of R^n. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets, stable under finite unions.
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