Calculus of Variations and Geometric Measure Theory

A. Figalli

Quantitative isoperimetric inequalities, with applications to the stability of liquid drops and crystals

created by figalli on 02 Jul 2010
modified on 20 Aug 2024

[BibTeX]

Published Paper

Inserted: 2 jul 2010
Last Updated: 20 aug 2024

Journal: Contemp. Math.
Year: 2011

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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