23 citations · 34 across the 12 of their papers we have counts for
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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…
A Liouville theorem for subcritical Lane-Emden system
Ze Cheng, Genggeng Huang, Congming Li
In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-…
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…
Compactness of Alexandrov-Nirenberg Surfaces
Qing Han, Jiaxing Hong, Genggeng Huang
We study a class of compact surfaces in introduced by Alexandrov and generalized by Nirenberg and prove a compactness result under suitable assumptions on induced met…
Existence of non-topological solutions for a skew-symmetric Chern-Simons system
Genggeng Huang, Chang-Shou Lin
We investigate the existence of non-topological solutions satisfying such that and $$(β_1-1…