| Abstract: |
| We consider non-topological solutions of a nonlinear elliptic system problem derived from the SU(3) Chern-Simons models. The existence of non-topological solutions even for radial symmetric case has been a long standing open problem.
Recently, Choe, Kim, and Lin showed the existence of radial symmetric non-topological solution when the vortex points collapse. However, the arguments in that paper cannot work for an arbitrary configuration of vortex points.
In this talk, I introduce a new approach by using different scalings for different components of the system to construct a family of partial blowing up non-topological solutions.
This talk is based on the joint work with Prof. Chang-Shou Lin and Prof. Ting-Jung Kuo. |
|