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Coupled Vortex Equations on Complete Kähler Manifolds

Published online by Cambridge University Press:  20 November 2018

Yue Wang
Yue Wang*
Affiliation:
Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, Zhejiang, P.R. China. e-mail: math [email protected]
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Abstract

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In this paper, we first investigate the Dirichlet problem for coupled vortex equations. Secondly, we give existence results for solutions of the coupled vortex equations on a class of complete noncompact Kähler manifolds which include simply-connected strictly negative curved manifolds, Hermitian symmetric spaces of noncompact type and strictly pseudo-convex domains equipped with the Bergmann metric.

Keywords

58J0553C07
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 3 , 01 September 2008 , pp. 467 - 480
Copyright
Copyright © Canadian Mathematical Society 2008

References

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