33 citations · 56 across the 30 of their papers we have counts for
5 papers · 1 filter
Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the stability of Log-Sobolev inequality on the sphere
Lu Chen, Guozhen Lu, Hanli Tang
We establish the optimal asymptotic lower bound for the stability of fractional Sobolev inequality: \begin{equation}\label{Sob sta ine} \left\|(-Δ)^{s/2} U \right\|_2^2 - \mathcal…
Trudinger-Moser and Hardy-Trudinger-Moser inequalities for the Aharonov-Bohm Magnetic field
Guozhen Lu, Qiaohua Yang
The main results of this paper concern sharp constant of the Trudinger-Moser inequality in for Aharonov-Bohm magnetic fields. This is a borderline case of the Hard…
A sharp trace Adams' inequality in and Existence of the extremals
Lu Chen, Guozhen Lu, Maochun Zhu
Let be a bounded domain with smooth boundary . In this paper, we establish the following sharp form of the trace Adams' inequality in $W^{2,2…
Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth
Lu Chen, Guozhen Lu, Caifeng Zhang
In the past few decades, much attention has been paid to the bubbling problem for semilinear Neumann elliptic equation with the critical and subcritical polynomial nonlinearity, mu…
Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds
Lu Chen, Guozhen Lu, Hanli Tang
In this paper, we establish the stability for the Hardy-Littlewood-Sobolev (HLS) inequalities with explicit lower bounds. By establishing the relation between the stability of HLS…