A variational characterization of the catenoid

In this note, we use a result of Osserman and Schiffer (Arch. Rational Mech. Anal. 58:285-307, 1975) to give a variational characterization of the catenoid. Namely, we show that subsets of the catenoid minimize area within a geometrically natural class of minimal annuli. To the best of our knowledge...

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Bibliographic Details
Main Authors: Bernstein, Jacob (Author), Breiner, Christine Elaine (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2016-10-17T14:55:06Z.
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