An analysis of the two-vortex case in the Chern-Simons Higgs model
Weiyue Ding, Jürgen Jost, Jiayu Li,and Guofang Wang
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Submission date: 06. Oct. 1997
published in: Calculus of variations and partial differential equations, 7 (1998) 1, p. 87-97
DOI number (of the published article): 10.1007/s005260050100
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.