Proceedings

Inserted: 2 jul 2010
Last Updated: 9 feb 2013

Journal: Contemp. Math.
Year: 2010

Abstract:

Recently, in collaboration with Maggi and Pratelli, the author proved a sharp quantitative version of the anisotropic isoperimetric inequality using optimal transportation. Subsequently, this result has been applied by the author and Maggi to study the stability of the shape of small liquid drops and crystals under the action of an exterior potential. This note is a review of these results.

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• quant_isop_appl.pdf