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28 août 2013
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Alessio Figalli, « Stabilité dans les inégalités fonctionnelles, transport optimal et EDP », Annuaire du Collège de France, ID : 10.4000/annuaire-cdf.1116
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Geometric and functional inequalities play a crucial role in several problems arising in the calculus of variations, partial differential equations, geometry, etc. More recently, there has been a growing interest in the study of the stability for such inequalities. The basic question one wants to address is the following: suppose we have a functional inequality for which we know the sets of functions for which equality is attained. Can we prove, in some quantitative way, that if a function “a...