D. Chae et Oy. Imanuvilov, The existence of non-topological multivortex solutions in the relativisticself-dual Chern-Simons theory, COMM MATH P, 215(1), 2000, pp. 119-142
We construct a general type of multivortex solutions of the self-duality eq
uations (the Bogomol' nyi equations) of (2+1) dimensional relativistic Cher
n-Simons model with the non-topological boundary condition near infinity. F
or such construction we use a perturbation argument around the explicit sol
utions of the Liouville equation.