Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 11-15.

Remarks on the relativistic self-dual Maxwell-Chern-Simons-Higgs system

Dongho Chae

In this short note we announce some recent developements on the topological multi-vortex solutions of the self-dual Maxwell-Chern-Simons Higgs system. We find that all the topological solutions are admissible. We also discover that the convergence of the topological solution to the solutions of the self-dual Chern-Simons equations can be improved to be strong.

Published July 12, 2000.
Mathematics Subject Classifications: 35Q80.
Key words: Chern-Simons, Maxwell, Higgs, self-dual, topological vortex solution.

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Dongho Chae
Department of Mathematics
Seoul National University
Seoul 151-742, Korea

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