8 papers
Existence and asymptotic behavior of entire large solutions for Hessian equations
Xiang Li, Jiguang Bao
In this paper, we give some existence and nonexistence results for nonradial entire large solutions of the Hessian equation in the sublinear case $…
Mixed radial-angular bounds for a class of integral operators on Heisenberg groups
Xiang Li, Huan Liang, Shaozhuang Xu +1
In this paper, we will prove the sharp bounds of various operators in mixed radial angular spaces on Heisenberg groups. It mainly includes the boundedness of linear transformation…
Sharp constants for a class of linear integral operators on higher-dimensional product spaces
Xiang Li, Zunwei Fu, Zhongci Hang
In this paper, we will study a class of linear integral operators with the nonnegative kernels on higher-dimensional product spaces, the norms of the operators can be obtained by i…
Mixed radial-angular bounds for Hardy-type operators on Heisenberg groups
Zhongci Hang, Xiang Li, Dunyan Yan
In this paper, we will study -dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg groups and obtain their sharp bounds by using the rotation met…
Sharp bounds for a class of integral operators in weighted-type spaces on Heisenberg group
Xiang Li, Zhanpeng Gu, Dunyan Yan +1
In this paper, we will use the conclusions and methods in \cite{1} to obtain the sharp bounds for a class of integral operators with the nonnegative kernels in weighted-type spaces…
Boundedness of the multilinear integral operators on Heisenberg group
Xiang Li, Xi Cen, Zunwei Fu +1
In this paper, we will obtain the sharp constant for multilinear integral operator on Heisenberg group Lebesgue space which is based on the Stein-Weiss lemma, the boundedness for m…
Stein-Weiss type inequality on the upper half space and its applications
Xiang Li, Zifei Shen, Marco Squassina +1
In this paper, we establish some Stein-Weiss type inequalities with general kernels on the upper half space and study the existence of extremal functions for this inequality with t…
Entire solutions of the generalized Hessian inequality
Xiang Li, Jing Hao, Jiguang Bao
In this paper, we discuss the more general Hessian inequality including the Laplacian, p-Laplacian, mean curvature…