An analysis of the two-vortex case in the Chern-Simons Higgs model
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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.
13 pages, Latex
13 pages, Latex