The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

We construct a general type of multivortex solutions of the self-duality equations (the Bogomol' nyi equations) of (2+1) dimensional relativistic Chern-Simons model with the non-topological boundary condition near infinity. For such construction we use a perturbation argument around the explicit solutions of the Liouville equation.