Wy. Ding et al., AN ANALYSIS OF THE 2-VORTEX CASE IN THE CHERN-SIMONS HIGGS-MODEL, Calculus of variations and partial differential equations, 7(1), 1998, pp. 87-97
Extending work of Caffarelli-Yang and Tarantello, we present a variati
onal existence proof for two-vortex solutions of the periodic Chern-Si
mons Higgs model and analyze the asymptotic behavior of these solution
s as the parameter coupling the gauge field with the scalar field tend
s to 0.