Published Paper
Inserted: 14 oct 2019
Last Updated: 30 jul 2020
Journal: Adv. Nonlinear Stud.
Volume: 20
Number: 3
Pages: 539--555
Year: 2020
Doi: 10.1515/ans-2020-2074
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.
Keywords: regularity, anisotropic perimeter, isoperimetric problem, Finsler surface energy, boundedness, $\varepsilon-\varepsilon$ property
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