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arXiv:1910.06307 [math.AP]AbstractReferencesReviewsResources

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

Aldo Pratelli, Giorgio Saracco

Published 2019-10-14Version 1

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.

Comments: 19 pages, 1 figure
Categories: math.AP
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