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Zbl 0733.58009
Wang, Ronggang
The existence of Chern-Simons vortices. (English)
[J] Commun. Math. Phys. 137, No.3, 587-597 (1991). ISSN 0010-3616; ISSN 1432-0916/e

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.
[Yu.E.Gliklikh (Voronezh)]

MSC 2000:: *58D30 Spaces and manifolds of mappings in appl. to physics
81V10 Electromagnetic interaction

Keywords: Chern-Simons vortices; gauge field; Chern-Simons equation

Cited in: Zbl 1002.58015

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