paper

Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities

Haixia Chen, Seunghyeok Kim, Juncheng Wei

Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities

Name: Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities
Author: Haixia Chen, Seunghyeok Kim, Juncheng Wei

Haixia Chen, Seunghyeok Kim, Juncheng Wei

Paper2024-08-14English

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By developing a unified approach based on integral representations, we establish sharp quantitative stability estimates for critical points of the fractional Sobolev inequalities induced by the embedding $\dot{H}^s({\mathbb R}^n) \hookrightarrow L^{2n \over n-2s}({\mathbb R}^n)$ in the whole range of $s \in (0,\frac{n}{2})$.