PDE Seminar
Tuesday, 21 March at 4 pm
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Venue: 216, Mathematics Department
Host: Saikat Mazumdar
Speaker: Dr. Souptik Chakraborty
Affiliation: IIT Bombay
Title: Quantitative stability results of some functional inequalities
Abstract: In 1992, Bianchi-Egnell proved that the "Sobolev deficit" is bounded below by the distance of the function to the manifold of optimizers which gives a quantitative version of Lions result. In recent years, Figalli and other mathematicians obtained quantitative stability results for the critical exponent problem which is the Euler-Lagrange equation associated to Sobolev inequality. In this talk, I'm going to present recent developments in this direction. In particular, I will talk about some progress in the quantitative stability aspects of Hardy-Sobolev inequality. This is an ongoing joint project with Saikat Mazumdar.