Double Bubbles on the Real Line with Log-Convex Density

The classic double bubble theorem says that the least-perimeter way to enclose and separate two prescribed volumes in ℝN is the standard double bubble. We seek the optimal double bubble in ℝN with density, which we assume to be strictly log-convex. For N = 1 we show that the solution is sometimes tw...

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Bibliographic Details
Main Authors: Bongiovanni Eliot, Di Giosia Leonardo, Diaz Alejandro, Habib Jahangir, Kakkar Arjun, Kenigsberg Lea, Pittman Dylanger, Sothanaphan Nat, Zhu Weitao
Format: Article
Language:English
Published: De Gruyter 2018-06-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2018-0004

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