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The existence of Chern-Simons vortices. (English) Zbl 0733.58009
The paper deals with a new type of vortices, called Chern-Simons vortices, suggested recently by Jackiw and Weinberg as well as by Hong, Kim and Pac in the problem of charged vortices with gauge field governed by the Chern-Simons terms of the action. The author establishes the existence theorem for these vortices. The main part of the paper is the investigation of analytical and variational problems raised from the Chern-Simons equation.

MSC:
58D30Spaces and manifolds of mappings in applications to physics
81V10Electromagnetic interaction; quantum electrodynamics
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