4 papers
The uniform asymptotics for real double Hurwitz numbers with triple ramification I: the tropical correspondence
Yanqiao Ding, Kui Li, Huan Liu +1
This is the first of two papers on the uniform asymptotics for real double Hurwitz numbers with triple ramification. Real double Hurwitz numbers with triple ramification count the…
On a new region for the Lane-Emden conjecture in higher dimensions
Kui Li, Mingxiang Li, Juncheng Wei
We study the Lane-Emden conjecture, which asserts the non-existence of non-trivial, non-negative solutions to the Lane-Emden system \[ -Îu = v^p, \quad -Îv = u^q, \quad x \in \ma…
Classification of stationary solutions of the -dimensional radial Yang-Mills equation
Kui Li, Zhitao Zhang
We classify the solutions of the planar weighted Allen-Cahn equation arising from the critical equivariant Yang-Mills problem. We first give a complete classification for r…
Symmetry and classification of positive solutions of some weighted elliptic equations
Kui Li, Mengyao Liu, Jianfeng Wu
We study the weighted elliptic equation \begin{equation} -div(|x|^{-2a}\nabla u)=|x|^{-bp}|u|^{p-2}u~~~\mbox{in}~\mathbb{R}^N ~~~~~~~~~~~~~~~~~~~~(0.1)\end{equation} with …