33 citations · 61 across the 11 of their papers we have counts for
11 papers
Sharp Onofri trace inequality on the upper half space and quasi-linear Liouville equation with Neumann boundary
Jingbo Dou, Yazhou Han, Shuang Yuan +1
In this paper, we establish a sharp Onofri trace inequality on the upper half space by considering the limiting case of Sobolev trace inequalit…
Reversed Hardy-Littlewood-Sobolev inequality on Heisenberg group and CR sphere
Yazhou Han, Shutao Zhang
This paper is mainly devoted to the study of the reversed Hardy-Littlewood-Sobolev (HLS) inequality on Heisenberg group and CR sphere . First, we…
Paley's inequality for nonabelian groups
ChianYeong Chuah, Yazhou Han, Zhenchuan Liu +1
This article studies Paley's theory for lacunary Fourier series on (nonabelian) discrete groups. The results unify and generalize the work of Rudin for abelian discrete groups and…
Logarithmic submajorisations inequalities for operators in a finite von Neumann algebra
Cheng Yan, Yazhou Han
The aim of this paper is to study the logarithmic submajorisations inequalities for operators in a finite von Neumann algebra. Firstly, some logarithmic submajorisations inequaliti…
Harnack type inequalities for operators in logarithmic submajorisation
Yazhou Han, Cheng Yan
The aim of this paper is to study the Harnack type logarithmic submajorisation and Fuglede-Kadison determinant inequalities for operators in a finite von Neumann algebra. In partic…
Sharp Hardy-Littlewood-Sobolev inequalities on compact CR manifold
Yazhou Han
Assume that is a CR compact manifold without boundary and CR Yamabe invariant is positive. Here, we devote to study a class of sharp Hardy-Littlewood-Sobolev i…
Extremal problem of Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds
Shutao Zhang, Yazhou Han
This paper studies the existence of extremal problems for the Hardy-Littlewood-Sobolev inequalities on compact manifolds without boundary via Concentration-Compactness principle.
Sharp Sobolev inequalities on the complex sphere
Yazhou Han, Shutao Zhang
This paper is devoted to establish a class of sharp Sobolev inequalities on the unit complex sphere as follows: 1) Case : for any and $2\leq q \leq \fra…
An integral type Brezis-Nirenberg problem on the Heisenberg group
Yazhou Han
This paper is devoted to study a class of integral type Brezis-Nirenbreg problem on the Heisenberg group. It is a class of new nonlinear integral equations on the bounded domains o…
Pattern formation for a volume-filling chemotaxis model with logistic growth
Yazhou Han, Zhongfang Li, Jicheng Tao +1
This paper is devoted to investigate the pattern formation of a volume-filling chemotaxis model with logistic cell growth. We first apply the local stability analysis to establish…
Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications
Yazhou Han, Meijun Zhu
In this paper we extend Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds for dimension . As one application, we solve a generalized Yamabe problem on l…