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Talk

A quantitative stability estimate for the Sobolev inequality

  • Michael Loss (Georgia Institute of Technology)
E2 10 (Leon-Lichtenstein)

Abstract

In 1991 Binachi and Egnell proved a stability estimate for the Sobolev inequality using compactness arguments. In this talk I review recent joint work with Dolbeault, Esteban, Frank and Figalli that yields an estimate for the stability constant with the correct dimensional dependence that allows to obtain a stability estimate for the logarithmic Sobolev inequality.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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