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Multiple existence results for the self-dual Chern-Simons-Higgs vortex equation. (English) Zbl 1185.35274
From the abstract: We study the asymptotic behavior for the condensate solutions of the self-dual Chern-Simons-Higgs equation as the Chern-Simons parameter tends to zero. By using these estimates, we establish existence results for solutions of non-topological type.
MSC:
35Q60PDEs in connection with optics and electromagnetic theory
35B40Asymptotic behavior of solutions of PDE
35J60Nonlinear elliptic equations