Xiao-Ping Chen

collaborators

3 papers

math.AP2025

Stability estimates for $L^{p}$ -Caffarelli-Kohn-Nirenberg inequalities

Xiao-Ping Chen, Chun-Lei Tang

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…

math.AP2025

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.AP2025

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking

Xiao-Ping Chen, Chun-Lei Tang

This paper focus on the symmetry and symmetry breaking about the second order Hydrogen Uncertainty Principle. \emph{Firstly}, by choosing a suitable test function, we give a negati…

Stability estimates for Lp-Caffarelli-Kohn-Nirenberg inequalities

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

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking

Stability estimates for $L^{p}$ -Caffarelli-Kohn-Nirenberg inequalities

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