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Bull. Korean Math. Soc. 2011; 48(5): 1111-1117

Printed September 1, 2011

https://doi.org/10.4134/BKMS.2011.48.5.1111

Copyright © The Korean Mathematical Society.

Radial symmetry of topological solutions in the self-dual Maxwell-Chern-Simons gauged $O(3)$ sigma model

Kyungwoo Song

Kyung Hee University

Abstract

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Using the moving plane method, we establish the radial symmetry of topological one-vortex solutions of a semilinear elliptic system arising from the self-dual Maxwell-Chern-Simons $O(3)$ model.

Keywords: Maxwell-Chern-Simons $O(3)$ model, radial symmetry of solutions, moving plane method, topological solution

MSC numbers: 81T13, 35B40, 35J61

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