A round ball uniquely minimizes gravitational potential energy

被引：5

作者：

Morgan, F ^{[1
]}

机构：

[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 09期

关键词：

rotating fluids; rigid body; gravitational potential energy;

D O I：

10.1090/S0002-9939-05-08070-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a proof following Carleman that among measurable bodies in R-3 of mass m(0) and density at most 1, a round ball of unit density uniquely minimizes gravitational potential energy.

引用

页码：2733 / 2735

页数：3

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