Jingbo Dou

collaborators

Showing math.APShow all

2 papers · 1 filter

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 $R_{+}^{n} (n \geq 2)$ by considering the limiting case of Sobolev trace inequalit…