On the effective sharp stability of the Faber-Krahn inequality

Organisé par

Institut Henri Poincaré

The Faber–Krahn inequality states that, among sets of fixed volume, balls minimize the first Dirichlet eigenvalue. Its sharp quantitative form controls the square of the Fraenkel asymmetry by the spectral deficit. Brasco, De Philippis and Velichkov proved this estimate through an argument using compactness, a contradiction step, and the selection principle of Cicalese-Leonardi; consequently, their

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