We generalize to the anisotropic case some classical and recent results on the (n - 1)-Minkowski content of rectifiable sets in Rn, and on the outer Minkowski content of subsets of Rn. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets that are stable under finite unions.

A general formula for the anisotropic outer Minkowski content of a set / L. Lussardi, E. Villa. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 146:2(2016 Apr), pp. 393-413. [10.1017/S0308210515000542]

A general formula for the anisotropic outer Minkowski content of a set

E. Villa
Ultimo
2016

Abstract

We generalize to the anisotropic case some classical and recent results on the (n - 1)-Minkowski content of rectifiable sets in Rn, and on the outer Minkowski content of subsets of Rn. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets that are stable under finite unions.
anisotropy; Minkowski content; outer Minkowski content; rectifiability; mathematics (all)
Settore MAT/05 - Analisi Matematica
apr-2016
http://journals.cambridge.org
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/388628
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