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Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere
Ding, WY; Jost, J; Li, JY; Wang, GF
1999
Source PublicationCOMMENTARII MATHEMATICI HELVETICI
ISSN0010-2571
Volume74Issue:1Pages:118-142
AbstractWe consider a Ginzburg-Landau type functional on S-2 with a 6(th) order potential and the corresponding selfduality equations. We study the limiting behavior in the two vortex case when a coupling parameter tends to zero. This two vortex case is a limiting case for the Moser inequality, and we correspondingly detect a rich and varied asymptotic behavior depending on rile position of the vortices. We exploit analogies with the Nirenberg problem for the prescribed Gauss curvature equation on S-2.
KeywordGinzburg-Landau functional phi(6) theory Moser-Trudinger inequality Nirenberg problem phase transition Chern-Simons Higgs theory
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000079719300007
PublisherBIRKHAUSER VERLAG AG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14463
Collection中国科学院数学与系统科学研究院
Corresponding AuthorDing, WY
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Max Planck Inst Math Sci, D-04103 Leipzig, Germany
Recommended Citation
GB/T 7714
Ding, WY,Jost, J,Li, JY,et al. Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere[J]. COMMENTARII MATHEMATICI HELVETICI,1999,74(1):118-142.
APA Ding, WY,Jost, J,Li, JY,&Wang, GF.(1999).Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere.COMMENTARII MATHEMATICI HELVETICI,74(1),118-142.
MLA Ding, WY,et al."Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere".COMMENTARII MATHEMATICI HELVETICI 74.1(1999):118-142.
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