6 papers
The fractional Hénon-Lane-Emden conjecture and some critical nonexistence phenomena
Kui Li, Haoyang Lu, Zhitao Zhang
We refine the proof method for the Hénon-Lane-Emden system and extend it to fractional orders , proving subcritical nonexistence of positive classical solutions. And we find…
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 \[ -Δu = v^p, \quad -Δv = u^q, \quad x \in \math…
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 …
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…
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 the Lane-Emden conjecture
Kui Li, Zhitao Zhang
We consider the Lane-Emden conjecture which states that there is no non-trivial non-negative solution for the Lane-Emden system whenever the pair of exponents is subcritical. By So…