Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials

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	Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials
	Ding, WY ; Jost, J ; Li, JY ; Peng, XW ; Wang, GF
	2001-03-01
Source Publication	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
Volume	217 Issue:2 Pages:383-407
Abstract	The abelian Chern-Simons-Higgs model of Hong-Kim-Pac and Jackiw-Weinberg leads to a Ginzburg-Landau type functional with a 6(th) order potential on a compact Riemann surface. We derive the existence of two solutions with different asymptotic behavior as the coupling parameter tends to 0, for any number of prescribed vortices. We also introduce a Seiberg-Witten type functional with a 6(th) order potential and again show the existence of two asymptotically different solutions on a compact Kahler surface. The analysis is based on maximum principle arguments and applies to a general class of scalar equations.
Language	英语
WOS Research Area	Physics
WOS Subject	Physics, Mathematical
WOS ID	WOS:000167526700008
Publisher	SPRINGER-VERLAG
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/15839
Collection	中国科学院数学与系统科学研究院
Corresponding Author	Ding, WY
Affiliation	1.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. Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2001,217(2):383-407.
APA	Ding, WY,Jost, J,Li, JY,Peng, XW,&Wang, GF.(2001).Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials.COMMUNICATIONS IN MATHEMATICAL PHYSICS,217(2),383-407.
MLA	Ding, WY,et al."Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials".COMMUNICATIONS IN MATHEMATICAL PHYSICS 217.2(2001):383-407.

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