| Abstract: |
| In this talk, we consider the nonlinear
equations arising from the self-dual Maxwell-Chern-Simons gauged
$O(3)$ sigma model on (2+1)-dimensional Minkowski space $\R^{2,1}$
with the metric ${\mathrm {diag}}(1,-1,-1)$. We establish the
asymptotic behavior of solutions corresponding to their
flux and find the range of the flux for non-topological solutions.
Moreover, we establish the
sharp region of the flux for the non-topological solutions in one vortex
point case. |
|