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Regularity of isoperimetric sets in R2 with density

Cinti E, Pratelli A (2016)

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Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2016

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 365

Pages Range: 1-14

DOI: 10.1007/s00208-016-1409-y

Abstract

We consider the isoperimetric problem in (Formula presented.) with density. We show that, if the density is (Formula presented.), then the boundary of any isoperimetric set is of class (Formula presented.). This improves the previously known regularity.

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How to cite

APA:

Cinti, E., & Pratelli, A. (2016). Regularity of isoperimetric sets in R2 with density. Mathematische Annalen, 365, 1-14. https://dx.doi.org/10.1007/s00208-016-1409-y

MLA:

Cinti, Eleonora, and Aldo Pratelli. "Regularity of isoperimetric sets in R2 with density." Mathematische Annalen 365 (2016): 1-14.

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