## A formula for the minimal perimeter of clusters with density

created by scattaglia on 08 Dec 2020

[BibTeX]

Preprint

Inserted: 8 dec 2020
Last Updated: 8 dec 2020

Year: 2020

Abstract:

This paper deals with the isoperimetric problem for clusters in a Euclidean space with double density. In particular, we show that a limit of an isoperimetric minimizing sequence of clusters with volumes V is always isoperimetric for its own volumes (which may be smaller than V). In particular, if it is strictly smaller, we provide an explicit formula.

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