Titile:  Non-topological multivortex solutions to the self-dual
         Maxwell-Chern-Simons-Higgs systems 

Author:  Dongho Chae and Oleg Yu. Imanuvilov 

Abstract:

In this paper we construct  non-topological multivortex solutions to 
the non-relativistic  self-dual Maxwell-Chern-Simons-Higgs system
in $\Bbb R^2$ which make the energy functional finite. Moreover, 
our proof of the existence of solutions reveals precise asymptotic 
behavior of solutions near spatial infinity. Using  exactly the same
method,  we also establish the existence of non-topological multivortex
solutions to the relativistic self-dualMaxwell-Chern-Simons-Higgs system.