Stability estimates for $L^p$-Caffarelli-Kohn-Nirenberg inequalities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914117820874752 |
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| author | Chen, Xiao-Ping Tang, Chun-Lei |
| author_facet | Chen, Xiao-Ping Tang, Chun-Lei |
| contents | Based on some new vector inequalities established by Figalli and Zhang [\emph{Duke Math. J.} \textbf{171} (2022), 2407--2459], we study the stability of the scale invariant and the scale non-invariant $L^p$-Caffarelli-Kohn-Nirenberg inequalities, which fills the recent work of Do \emph{et al.} [$L^p$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities, arXiv: 2310.07083] for $1<p<2$, and also extends some results of Cazacu \emph{et al.} [\emph{J. Math. Pures Appl. (9)} \textbf{182} (2024), 253--284] to a general case for $L^p$-Caffarelli-Kohn-Nirenberg inequalities with $1<p<N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24022 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability estimates for $L^p$-Caffarelli-Kohn-Nirenberg inequalities Chen, Xiao-Ping Tang, Chun-Lei Analysis of PDEs Based on some new vector inequalities established by Figalli and Zhang [\emph{Duke Math. J.} \textbf{171} (2022), 2407--2459], we study the stability of the scale invariant and the scale non-invariant $L^p$-Caffarelli-Kohn-Nirenberg inequalities, which fills the recent work of Do \emph{et al.} [$L^p$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities, arXiv: 2310.07083] for $1<p<2$, and also extends some results of Cazacu \emph{et al.} [\emph{J. Math. Pures Appl. (9)} \textbf{182} (2024), 253--284] to a general case for $L^p$-Caffarelli-Kohn-Nirenberg inequalities with $1<p<N$. |
| title | Stability estimates for $L^p$-Caffarelli-Kohn-Nirenberg inequalities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.24022 |