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# Sharp Constants and Optimizers for a Class of Caffarelli–Kohn

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## Title: Sharp constants and optimizers …

Moreover, in the particular classes $r=p\frac{q-1}{p-1}$ and $q=p\frac{r-1}{p-1}$, the forms of maximizers will also be provided in the spirit of Del Pino and Dolbeault ([12], 13]). In the case $a=1$, that is the Caffarelli-Kohn-Nirenberg inequality without the interpolation term, we will provide the exact maximizers for all the range of $\mu\geq0$.
https://arxiv.org/abs/1510.01224

## CAFFARELLI-KOHN-NIRENBERG INEQUALITIES - arXiv

arxiv:1510.01224v1 [math.ap] 5 oct 2015 sharp constants and optimizers for a class of the caffarelli-kohn-nirenberg inequalities nguyen lam and guozhen lu
https://arxiv.org/pdf/1510.01224.pdf

## Paciﬁc Journal of Mathematics - aurak.ac.ae

using quasiconformal changes of variables to obtain sharp constants and optimizers in cases of the ... NORM CONSTANTS IN THE CAFFARELLI–KOHN ...
http://aurak.ac.ae/publications/Norm-Constants-in-Cases-of-the-Caffarelli...

## Existence of extremal functions for a …

Existence of extremal functions for a family of Caffarelli-Kohn-Nirenberg inequalities. ... Sharp constants and optimizers for a class of the Caffarelli ...
https://www.researchgate.net/publication/274384902_Existence_of...

## The John-Nirenberg inequality with …

Sharp constants in the classical weak form of the John--Nirenberg inequality: ... Sharp constants and optimizers for a class of the Caffarelli-Kohn ...
http://www.oalib.com/paper/3844106

## On the Best Constant for a Weighted …

Nguyen Lam and Guozhen Lu, Sharp Constants and Optimizers for a Class of Caffarelli–Kohn–Nirenberg Inequalities, Advanced Nonlinear Studies, 10.1515/ans-2017-0012, 17, 3, (2017).
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s...

## Sharp weighted Trudinger–Moser and …

On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, ... Lu G.Sharp constants and optimizers for a class of the Caffarelli-Kohn-Nirenberg ...
https://www.sciencedirect.com/science/article/pii/S0362546X18300580

## Sharp constants and optimizers for a …

Abstract In this paper, we will use a suitable tranform to investigate the sharp constants and optimizers for the following Caffarelli-Kohn-Nirenberg ...