# The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets

created by saracco on 14 Oct 2019
modified on 30 Jul 2020

[BibTeX]

Published Paper

Inserted: 14 oct 2019
Last Updated: 30 jul 2020

Volume: 20
Number: 3
Pages: 539--555
Year: 2020
Doi: 10.1515/ans-2020-2074

ArXiv: 1910.06307 PDF

Abstract:

We prove the validity of the $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, generalising the known properties for the case of single density. As a consequence, we derive regularity for isoperimetric sets.