18 citations · 25 across the 6 of their papers we have counts for
6 papers
Energy concentration and a priori estimates for and types of Toda systems
Chang-shou Lin, Lei Zhang
For Toda systems with Cartan matrix either or , we prove that the local mass of blowup solutions at its blowup points converges to a finite set. Further more this finite…
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…
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…
Solutions to the Master Equations Governing Fractional Vortices
Chang-Shou Lin, Gabriella Tarantello, Yisong Yang
By means of variational methods, in this paper, we establish sharp existence results for solutions of the master equations governing `fractional multiple vortices.' In the doubly p…
A Topological Degree Counting for some Liouville Systems of Mean Field Equations
Chang-shou Lin, Lei Zhang
Let be an invertible matrix and be the inverse of . In this paper, we consider the generalized Liouville system: \label{ab…