Multivortex solutions for the self-dual Chern-Simons-Higgs model

초록

The self-dual Chern-Simons-Higgs model was proposed in an attempt to explain a certain kind of superconductivity. When we seek static configuration for the CSH model, the governing equation is a semilinear elliptic equation with exponential nonlinearity and a positive parameter k. We briefly review multiple existence results for certain values of k, and asymptotic behavior for periodic solutions as k tends to zero.