# 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 14 Jan 2020

[BibTeX]

Accepted Paper

Inserted: 14 oct 2019
Last Updated: 14 jan 2020

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.