论文标题
SU（3）Chern-Simons模型中的无穷大爆炸，第一部分
Blow up at infinity in the SU(3) Chern-Simons model, part I
论文作者
论文摘要
我们考虑了从$ \ Mathbb {r}^2 $中的$ su（3）$ chern-simons型号得出的非线性椭圆系统问题的非探针解决方案。即使对于径向对称情况，非本质解决方案的存在一直是一个长期存在的开放问题。最近，[Choe，Kim，Lin（2015，2016）]在涡旋点崩溃时显示了径向对称的非平原解。但是，[Choe，Kim，Lin（2015，2016）]中的论点不能用于对涡旋点的任意配置。在本文中，我们通过为系统的不同组件使用不同的量表来开发一种新方法，以构建一个在无穷大时吹来的非探针解决方案家族。
We consider non-topological solutions of a nonlinear elliptic system problem derived from the $SU(3)$ Chern-Simons models in $\mathbb{R}^2$. The existence of non-topological solutions even for radial symmetric case has been a long standing open problem. Recently, [Choe, Kim, Lin (2015, 2016)] showed the existence of radial symmetric non-topological solution when the vortex points collapse. However, the arguments in [Choe, Kim, Lin (2015, 2016)] cannot work for an arbitrary configuration of vortex points. In this paper, we develop a new approach by using different scalings for different components of the system to construct a family of non-topological solutions, which blows up at infinity.
