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An analysis of the two-vortex case in the Chern-Simons Higgs model
Weiyue Ding, Jürgen Jost, Jiayu Li and Guofang Wang
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.