97 citations · 579 across the 69 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…
Convergence rate, location and condition for fully bubbling solutions to SU(n+1) Toda Systems
Changshou Lin, Juncheng Wei, Lei Zhang
It is well known that the study of Toda systems is important not only to Chern-Simons models in Physics, but also to the understanding of holomorphic curves, harmonic seq…
Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system
Hsin-Yuan Huang, Youngae Lee, Chang-Shou Lin
Consider the following skew-symmetric Chern-Simons system \begin{equation*}\left \{ \begin{split} &Δu_{1}+\frac{1}{\varepsilon^2} e^{u_{2}}(1-e^{u_{1}})=4π\sum^{N_1}_{j=1}δ_{p_{j,1…
Degree counting and shadow system for Toda system: one bubbling
Chang-Shou Lin, Juncheng Wei, Wen Yang
Here we initiate the program for computing the Leray-Schauder topological degree for Toda system. This program still contains a lot of challenging problems for analysts. Th…
A new type of non-topological bubbling solutions to a competitive Chern-Simons model
Zhijie Chen, Chang-Shou Lin
We study a non-Abelian Chern-Simons system in , including the simple Lie algebras and . In a previous work, we proved the existence of radial non-topologic…
Removable singularity of positive solutions for a critical elliptic system with isolated singularity
Zhijie Chen, Chang-Shou Lin
We study qualitative properties of positive singular solutions to a two-coupled elliptic system with critical exponents. This system is related to coupled nonlinear Schrodinger equ…