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

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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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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, Beijing 100080, P. R. China , , , , , , CN

    Weiyue Ding, Jiayu Li & Guofang Wang

  2. Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22-26, D-04103 Leipzig, Germany , , , , , , DE

    Jürgen Jost

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  1. Weiyue Ding
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  2. Jürgen Jost
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  3. Jiayu Li
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  4. Guofang Wang
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Received September 24, 1997 / Accepted October 2, 1997

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Ding, W., Jost, J., Li, J. et al. An analysis of the two-vortex case in the Chern-Simons Higgs model. Calc Var 7, 87–97 (1998). https://doi.org/10.1007/s005260050100

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  • DOI: https://doi.org/10.1007/s005260050100

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