Xiao-Ping Chen

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20222025

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math.AP2024

Remainder terms of $L^{p}$ -Hardy inequalities with magnetic fields: the case $1 < p < 2$

Xiao-Ping Chen, Chun-Lei Tang

This paper focuses on remainder estimates of the magnetic $L^{p}$ -Hardy inequalities for $1 < p < 2$ . \emph{Firstly}, we establish a family of remainder terms involving magnetic gradient…

math.AP2024

The second order Caffarelli-Kohn-Nirenberg identities and inequalities

Xiao-Ping Chen, Chun-Lei Tang

This paper focuses on optimal constants and optimizers of the second order Caffarelli-Kohn-Nirenberg inequalities. Firstly, we aim to study optimal constants and optimizers for the…

Remainder terms of Lp-Hardy inequalities with magnetic fields: the case 1<p<2

The second order Caffarelli-Kohn-Nirenberg identities and inequalities

Remainder terms of $L^{p}$ -Hardy inequalities with magnetic fields: the case $1 < p < 2$