We prove the validity of the ϵ - ϵ^β 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.
The ϵ - ϵ^βProperty in the isoperimetric problem with double density, and the regularity of isoperimetric sets / Pratelli A.; Saracco G.. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - ELETTRONICO. - 20:(2020), pp. 539-555. [10.1515/ans-2020-2074]
The ϵ - ϵ^βProperty in the isoperimetric problem with double density, and the regularity of isoperimetric sets
Saracco G.
2020
Abstract
We prove the validity of the ϵ - ϵ^β 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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2020 - The e-ebeta property in the isoperimetric problem with double density and the regularity of isoperimetric sets - Pratelli, Saracco.pdf
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