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An analysis of the two-vortex case in the Chern-Simons Higgs model

W. Ding·J. Jost·J. Li·G. Wang
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Abstract

Extending work of Caffarelli-Yang and Tarantello, we present a variational existence proof for two-vortex solutions of the periodic Chern-Simons Higgs model and analyze the asymptotic behavior of these solutions as the parameter coupling the gauge field with the scalar field tends to 0.

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W. Ding, J. Jost, J. Li, G. Wang. 1997-10-07. An analysis of the two-vortex case in the Chern-Simons Higgs model. https://arxiv.org/abs/dg-ga/9710006

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