7 citations · 13 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Existence and uniqueness for Mean Field Equations on multiply connected domains at the critical parameter
Daniele Bartolucci, Chang-Shou Lin
We consider the mean field equation: (1) Δu+ρ\frac{e^u}{\int_Ωe^u}=0 & \hbox{in} \;Ω, u=0 & \hbox{on}\;\partialΩ, where is an open and bounded domain of cla…