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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access December 5, 2016

Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture

  • Frank Morgan

Abstract

We give an example of a smooth surface of revolution for which all circles about the origin are strictly stable for fixed area but small isoperimetric regions are nearly round discs away from the origin.

References

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Received: 2016-10-12
Accepted: 2016-11-16
Published Online: 2016-12-5

© 2016 Frank Morgan

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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