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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2408.07775 |
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| _version_ | 1866914913292648448 |
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| author | Chen, Haixia Kim, Seunghyeok Wei, Juncheng |
| author_facet | Chen, Haixia Kim, Seunghyeok Wei, Juncheng |
| contents | 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 $s \in (0,\frac{n}{2})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities Chen, Haixia Kim, Seunghyeok Wei, Juncheng Analysis of PDEs 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 $s \in (0,\frac{n}{2})$. |
| title | Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.07775 |