A class of Kazdan-Warner typed equations on non-compact Riemannian manifolds 被引量：2

A class of Kazdan-Warner typed equations on non-compact Riemannian manifolds

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摘要 In this paper,we discuss a Kazdan-Warner typed equation on certain non-compact Rie- mannian manifolds.As an application,we prove an existence theorem of Hermitian-Yang-Mills-Higgs metrics on holomorphic line bundles over certain non-compact K(?)hler manifolds. In this paper, we discuss a Kazdan-Warner typed equation on certain non-compact Riemannian manifolds. As an application, we prove an existence theorem of Hermitian-Yang-Mills-Higgs metrics on holomorphic line bundles over certain non-compact K?hler manifolds.

作者 WANG Yue ZHANG Xi

机构地区 Department of Mathematics Department of Mathematics

出处《Science China Mathematics》 SCIE 2008年第6期1111-1118,共8页 中国科学：数学（英文版）

基金 the National Natural Science Foundation of China(Grant No.10771188) the Natural Science Foundation of Zhejiang Province(Grant No.Y605091)

关键词 non-compact RIEMANNIAN manifolds Vortex equation HOLOMORPHIC line bundles non-compact Riemannian manifolds Vortex equation holomorphic line bundles 58J05 53C07

分类号 O186.12 [理学—基础数学]

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参考文献17

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共引文献1

1汪悦,张希.非紧Riemman流形上的一类Kazdan-Warner型方程[J].中国科学（A辑）,2008,38(3):271-278.

同被引文献2

1GRIGOR''YAN Alexander,LIN Yong,YANG YunYan.Existence of positive solutions to some nonlinear equations on locally finite graphs[J].Science China Mathematics,2017,60(7):1311-1324. 被引量：7
2林勇,吴艺婷.BLOW-UP PROBLEMS FOR NONLINEAR PARABOLIC EQUATIONS ON LOCALLY FINITE GRAPHS[J].Acta Mathematica Scientia,2018,38(3):843-856. 被引量：2

引证文献2

1邓义华.非紧Riemann流形上一类Kazdan-Warner型方程光滑解的存在唯一性[J].中山大学学报（自然科学版）,2010,49(6):26-30.
2Xiaoxiao ZHANG,Aijin LIN.Positive solutions of p-th Yamabe type equations on graphs[J].Frontiers of Mathematics in China,2018,13(6):1501-1514.

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