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arXiv · 1910.06307

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

Aldo Pratelli·Giorgio Saracco
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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.

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Aldo Pratelli, Giorgio Saracco. 2019-10-14. The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets. https://doi.org/10.1515/ans-2020-2074

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