We study an anisotropic version of the outer Minkowski content of a closed set in R^n. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.
Lussardi, L., Chambolle, A., Lisini, S., A remark on the anisotropic outer Minkowski content, <<ADVANCES IN CALCULUS OF VARIATIONS>>, 2014; 7 (Aprile): 241-266. [doi:10.1515/acv-2013-0103] [http://hdl.handle.net/10807/55091]
A remark on the anisotropic outer Minkowski content
Lussardi, Luca;
2014
Abstract
We study an anisotropic version of the outer Minkowski content of a closed set in R^n. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.
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