A Remark on the Anisotropic Outer Minkowski contentReport as inadecuate

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1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique 2 Dipartimento di Matematica - Università di Pavia 3 Dipartimento di Matematica e Fisica -Niccol

Abstract : We study an anisotropic version of the outer Minkowski content of a closed set in Rn. 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.

Keywords : Minkowski content perimeter sets of finite perimeter Gamma-convergence

Author: Antonin Chambolle - Stefano Lisini - Luca Lussardi -

Source: https://hal.archives-ouvertes.fr/


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