A remark on the anisotropic outer Minkowski content

作者：Chambolle Antonin^*; Lisini Stefano; Lussardi Luca

来源：Advances in Calculus of Variations, 2014, 7(2): 241-266.

DOI：10.1515/acv-2013-0103

• Outer Minkowski content
• finite perimeter sets
• Gamma-convergence
• anisotropic perimeter

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.

• 出版日期2014-4