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A Round Ball Uniquely Minimizes Gravitational Potential Energy
Proceedings of the American Mathematical Society
Vol. 133, No. 9 (Sep., 2005), pp. 2733-2735
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/4097638
Page Count: 3
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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.
Proceedings of the American Mathematical Society © 2005 American Mathematical Society