Double Bubbles on the Real Line with Log-Convex Density
| Autor: | Bongiovanni Eliot, Di Giosia Leonardo, Diaz Alejandro, Habib Jahangir, Kakkar Arjun, Kenigsberg Lea, Pittman Dylanger, Sothanaphan Nat, Zhu Weitao |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Analysis and Geometry in Metric Spaces, Vol 6, Iss 1, Pp 64-88 (2018) |
| Druh dokumentu: | article |
| ISSN: | 2299-3274 2018-0004 |
| DOI: | 10.1515/agms-2018-0004 |
| Popis: | 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 two contiguous intervals and sometimes three contiguous intervals. In higher dimensions we think that the solution is sometimes a standard double bubble and sometimes concentric spheres (e.g. for one volume small and the other large). |
| Databáze: | Directory of Open Access Journals |
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