2 citations · 3 across the 7 of their papers we have counts for
7 papers · 1 filter
Classification of positive solutions to a class of Laplace equations with a gradient term
Jingbo Dou, Benfeng Shi, Tian Wu +1
In this paper, we investigate positive solutions to a class of Laplace equations with a gradient term on a complete, connected, and noncompact Riemannian manifold \((M^n,g)\) with…
Stein-Weiss type inequalities with partial variable weight on the upper half space and related weighted inequalities
Jingbo Dou, Jingjing Ma
In this paper, we establish a class of Stein-Weiss type inequality with partial variable weight functions on the upper half space using a weighted Hardy type inequality. Overcoming…
Divergent operator with degeneracy and related sharp inequalities
Jingbo Dou, Liming Sun, Lei Wang +1
In this paper we classify all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the…
Negative Power Nonlinear Integral Equations on Bounded Domains
Jingbo Dou, Qianqiao Guo, Meijun Zhu
This is the continuation of our previous work [5], where we introduced and studied some nonlinear integral equations on bounded domains that are related to the sharp Hardy-Littlewo…
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…
Sharp Hardy-Littlewood-Sobolev inequality on the upper half space
Jingbo Dou, Meijun Zhu
There are at least two directions concerning the extension of classical sharp Hardy-Littlewood-Sobolev inequality: (1) Extending the sharp inequality on general manifolds; (2) Exte…
Reversed Hardy-Littewood-Sobolev inequality
Jingbo Dou, Meijun Zhu
The classical sharp Hardy-Littlewood-Sobolev inequality states that, for and with , there is a best constant , such that…