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…