5 papers
Stability estimates for -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…
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…
Remainder terms of -Hardy inequalities with magnetic fields: the case
Xiao-Ping Chen, Chun-Lei Tang
This paper focuses on remainder estimates of the magnetic -Hardy inequalities for . \emph{Firstly}, we establish a family of remainder terms involving magnetic gradient…
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…
Existence and asymptotic behavior of least energy sign-changing solutions for Schrodinger-Poisson systems with doubly critical exponents
Xiao-Ping Chen, Chun-Lei Tang
In this paper, we are concerned with the following Schrödinger-Poisson system with critical nonlinearity and critical nonlocal term due to the Hardy-Littlewood-Sobolev inequality \…