DOUBLE BUBBLES ON THE LINE WITH LOG-CONVEX DENSITY f WITH (log f)' BOUNDED

被引：0

作者：

Sothanaphan, Nat ^{[1
]}

机构：

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10003 USA

来源：

MISSOURI JOURNAL OF MATHEMATICAL SCIENCES | 2018年 / 30卷 / 02期

关键词：

double bubble; density; isoperimetric;

D O I：

10.35834/mjms/1544151693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend results of Bongiovanni et al. [1] on double bubbles on the line with log-convex density to the case where the derivative of the log of the density is bounded. We show that the tie function between the double interval and the triple interval still exists, but may blow up to infinity in finite time. For the first time, a density is presented for which the blowup time is positive and finite.

引用

页码：166 / 175

页数：10

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