Nonself-dual Chern-Simons and Maxwell-Chern-Simons vortices on bounded domains |
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| Authors: | Jongmin Han |
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| Affiliation: | a Department of Mathematics, Hankuk University of Foreign Studies, 89 Wangsan-ri Mohyun, Yongin, Kyounggi-do 449-791, Republic of Korea
b BK21 and School of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea |
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| Abstract: | We first show the existence of the multivortex solutions of Maxwell-Chern-Simons-Higgs (MCSH) model on bounded domains and prove that the solutions of the Euler-Lagrange equations of the MCSH energy functional converge to those of the Abelian-Higgs (AH) model and the Chern-Simons-Higgs (CSH) model in suitable limits, respectively. We also show the existence of the multivortex solutions of the nonself-dual CSH model on bounded domains. Besides, we study asymptotics for the minimizers of MCSH energy functional when the gauge field vanishes. |
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| Keywords: | 35B40 81T13 |
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