3 papers
math.AP2026
Classification of solutions to the Liouville equation with a nonlinear Robin boundary condition on the unit disk
Jingbo Dou, Yunyun Hu, Keqing Peng
In this paper, we study the nonlinear boundary value problem \begin{equation*} \begin{cases} -Δu=e^{2u},& \mbox{in } {\mathbb{D}},\\ \frac{\partial u}{\partialν}+λ=e^u ,& \mbox{on…
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…