3 papers
math.AP2023
Classification of solutions of higher order critical Choquard equation
Genggeng Huang, Yating Niu
In this paper, we classify the solutions of the following critical Choquard equation \[ (-Δ)^{\frac{n}{2}} u(x) = \int_{\mathbb{R}^n} \frac{e^{\frac{2n- μ}{2}u(y)}}{|x-y|^μ}dy e^{\…
math.AP2014
Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices
Genggeng Huang, Chang-Shou Lin
We consider the following Chern-Simons equation, \begin{equation} \label{0.1} Δu+\frac 1{\varepsilon^2} e^u(1-e^u)=4π\sum_{i=1}^N δ_{p_i^\varepsilon},\quad \text{in}\quad Ω, \end{e…
math.AP2014
A Liouville theorem for high order degenerate elliptic equations
Genggeng Huang, Congming Li
In this paper, we apply the moving plane method to the following high order degenerate elliptic equation,\begin{equation*} (-A)^p u=u^α\text{ in } \mathbb R^{n+1}_+,n\geq 1, \end{e…