3 papers
math.AP2025
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…
math.AP2023
Reversed Hardy-Littlewood-Sobolev inequalities with vertical weights on the upper half space
Jingbo Dou, Yunyun Hu, Jingjing Ma
In this paper, we obtain the reversed Hardy-Littlewood-Sobolev inequality with vertical weights on the upper half space and discuss the extremal functions. We show that the sharp c…
math.AP2016
Subcritical Approach to Sharp Hardy-Littlewood-Sobolev Type Inequalities on the Upper Half Space
Jingbo Dou, Qianqiao Guo, Meijun Zhu
In this paper we establish the reversed sharp Hardy-Littlewood-Sobolev (HLS for short) inequality on the upper half space and obtain a new HLS type integral inequality on the upper…