The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets
Analysis of PDEs
2020-07-31 v2
Abstract
We prove the validity of the 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.
Keywords
Cite
@article{arxiv.1910.06307,
title = {The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets},
author = {Aldo Pratelli and Giorgio Saracco},
journal= {arXiv preprint arXiv:1910.06307},
year = {2020}
}
Comments
19 pages, 1 figure