43 citations · 69 across the 14 of their papers we have counts for
14 papers
Sharp trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere
Qiaohua Yang, Leyuan Yu
We establish sharp Sobolev trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere, extending the corresponding…
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…
The optimal constant in the Folland-Stein inequality on the H-type group
Qiaohua Yang
We determine the optimal constant in the Folland-Stein inequality on the H-type group, which partially confirms the conjecture given by Garofalo and Vassilev (Duke Math. J.…
Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half spaces
Lu Chen, Guozhen Lu, Qiaohua Yang +1
In this paper, we establish the sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the half spaces and prove the existence of their extremals through th…
Higher order Brezis-Nirenberg problem on hyperbolic spaces: Existence, nonexistence and symmetry of solutions
Jungang Li, Guozhen Lu, Qiaohua Yang
The main purpose of this paper is to establish the existence, nonexistence and symmetry of nontrivial solutions to the higher order Brezis-Nirenberg problems associated with the GJ…
Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on quaternionic hyperbolic spaces and the Cayley hyperbolic plane
Joshua Flynn, Guozhen Lu, Qiaohua Yang
Though Adams and Hardy-Adams inequalities can be extended to general symmetric spaces of noncompact type fairly straightforwardly by following closely the systematic approach devel…
Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces
Guozhen Lu, Qiaohua Yang
This paper continues the program initiated in the works by the authors [60], [61] and [62] and by the authors with Li [51] and [52] to establish higher order Poincaré-Sobolev, Hard…
Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces
Guozhen Lu, Qiaohua Yang
Using the Fourier analysis techniques on hyperbolic spaces and Green's function estimates, we confirm in this paper the conjecture given by the same authors in [43]. Namely, we pro…
Sharp Sobolev trace inequalities for higher order derivatives
Qiaohua Yang
Motivated by a recent work of Ache and Chang concerning the sharp Sobolev trace inequality and Lebedev-Milin inequalities of order four on the Euclidean unit ball, we derive such i…
Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces
Guozhen Lu, Qiaohua Yang
By using, among other things, the Fourier analysis techniques on hyperbolic and symmetric spaces, we establish the Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on…
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four
Guozhen Lu, Qiaohua Yang
We establish sharp Hardy-Adams inequalities on hyperbolic space of dimension four. Namely, we will show that for any there exists a constant such tha…
A sharp Trudinger-Moser inequality on any bounded and convex planar domain
Guozhen Lu, Qiaohua Yang
Wang and Ye conjectured in [22]: Let be a regular, bounded and convex domain in . There exists a finite constant such that \[ \int_Ωe^{\frac{4πu^{2}}{H…
Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature
Qiaohua Yang, Dan Su, Yinying Kong
Let be a complete, simply connected Riemannian manifold with negative curvature. We obtain some Moser-Trudinger inequalities with sharp constants on .
On the best constants of Hardy inequality in and related improvements
Dan Su, Qiao-Hua Yang
We compute the explicit sharp constants of Hardy inequalities in the cone $\mathbb{R}_{k_+}^{n}:=\mathbb{R}^{n-k}\times (\mathbb{R}_{+})^{k}=\{(x_{1},...,x_{n})|x_{n-k+1}>0,...,x_{…