A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities-Reference-Cited by-同舟云学术

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A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities

Published:2023 Issue:11 Volume:8 Page:27983-27988
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kendell Steven,Lam Nguyen,Smith Dylan,White Austin,Wiseman Parker

Abstract

<abstract><p>We provided a simple and direct proof of an improved version of the main results of the paper by Catrina and Costa (2009).</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference21 articles.

1. L. Caffarelli, R. Kohn, L. Nirenberg, First order interpolation inequalities with weights, Compos. Math., 53 (1984), 259–275.

2. L. Caffarelli, R. Kohn, L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math., 35 (1982), 771–831. https://doi.org/10.1002/cpa.3160350604

3. F. Catrina, D. Costa, Sharp weighted-norm inequalities for functions with compact support in $\mathbb{R}^{N}\setminus\{0\}$, J. Differ. Equations, 246 (2009), 164–182. https://doi.org/10.1016/j.jde.2008.04.022

4. C. Cazacu, J. Flynn, N. Lam, Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second ord er derivatives, Calc. Var., 62 (2023), 118. https://doi.org/10.1007/s00526-023-02454-1

5. C. Cazacu, J. Flynn, N. Lam, Sharp second order uncertainty principles, J. Funct. Anal., 283 (2022), 109659. https://doi.org/10.1016/j.jfa.2022.109659

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