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A Round Ball Uniquely Minimizes Gravitational Potential Energy

Frank Morgan
Proceedings of the American Mathematical Society
Vol. 133, No. 9 (Sep., 2005), pp. 2733-2735
Stable URL: http://www.jstor.org/stable/4097638
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Round Ball Uniquely Minimizes Gravitational Potential Energy
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Abstract

We give a proof following Carleman that among measurable bodies in R3 of mass m0 and density at most 1, a round ball of unit density uniquely minimizes gravitational potential energy.

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