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arXiv · 2408.07775

Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities

Haixia Chen·Seunghyeok Kim·Juncheng Wei
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Abstract

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 $s \in (0,\frac{n}{2})$.

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Haixia Chen, Seunghyeok Kim, Juncheng Wei. 2024-08-14. Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities. https://arxiv.org/abs/2408.07775

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