Abstract
In this paper we show the existence of the multiple multivortex solutions of the self-duality equations of (2+1) dimensional Chern–Simons–Higgs model in a background metric of the form gμν=diag(1,−b(x),−b(x)) with b(x)=O(|x|−l) as |x|→∞ for some l>2.
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