3 citations · 5 across the 4 of their papers we have counts for
4 papers
Critical GJMS Equations on
Qiaoqiao Hua, Jungang Li, Chunxia Tao
Let , where , , and . Let be the order- GJMS operator, with , and assume that $Λ_0=\infσ_{L^2(M)}(…
Existence and symmetry of extremals for the high order Hardy-Sobolev-Maz'ya inequalities
Guozhen Lu, Chunxia Tao
In this article, we establish the existence of an extremal function for the k-th order critical Hardy-Sobolev-Maz'ya (HSM) inequalities on the upper half space $\mathbb{R}^{n+1}_{+…
Stein-Weiss inequalities with the fractional Poisson kernel
Lu Chen, Zhao Liu, Guozhen Lu +1
In this paper, we establish the following Stein-Weiss inequality with the fractional Poisson kernel (see Theorem 1.1): \begin{equation}\label{int1} \int_{\mathbb{R}^n_{+}}\int_{\pa…
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group
Lu Chen, Guozhen Lu, Chunxia Tao
In this paper, we establish the existence of extremals for two kinds of Stein-Weiss inequalities on the Heisenberg group. More precisely, we prove the existence of extremals for th…