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math.AP2013★ 2 cited
Asymptotic analysis of solutions to a gauged O(3) sigma model
Daniele Bartolucci, Youngae Lee, Chang-Shou Lin +1
We analyze an elliptic equation arising in the study of the gauged O(3) sigma model with the Chern-Simons term. In this paper, we study the asymptotic behavior of solutions and app…
math.AP2013
Classification of Radial Solutions to Liouville Systems with Singularities
Chang-shou Lin, Lei Zhang
Let be a nonnegative, symmetric, irreducible and invertible matrix. We prove the existence and uniqueness of radial solutions to the following Liouville sy…
math.AP2013★ 3 cited
On Liouville systems at critical parameters, Part 1: one bubble
Chang-shou Lin, Lei Zhang
In this paper we consider bubbling solutions to the general Liouville system: \label{abeq1} Δ_g u_i^k+\sum_{j=1}^n a_{ij}ρ_j^k(\frac{h_j e^{u_j^k}}{\int h_j e^{u_j^k}}-1)=0\quad\te…