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Zbl 1185.35274
Choe, Kwangseok
Multiple existence results for the self-dual Chern-Simons-Higgs vortex equation. (English)
[J] Commun. Partial Differ. Equations 34, No. 11, 1465-1507 (2009). ISSN 0360-5302; ISSN 1532-4133/e

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.
[Xavier Antoine (Vand\oe uvre-lès-Nancy)]
MSC 2000:
*35Q60 PDE of electromagnetic theory and optics
35B40 Asymptotic behavior of solutions of PDE
35J60 Nonlinear elliptic equations

Keywords: Asymptotic behavior; Chern-Simons-Higgs model; condensate solutions

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