FATOU　PROPERTY　ON　HARMONIC　MAPS　FROM　COMPLETE　MANIFOLDS　WITH　NONNEGATIVE　CURVATURE　AT　INFINITY　INTO　CONVEX　BALLS 被引量：2

FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS

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摘要 The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps into convex balls.

作者 YANG YIHU(Department of Mathematics,Fudan University,Shanghai 200433, China.)

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第3期341-350,共10页 数学年刊（B辑英文版）

关键词 Complete manifold Harmonic map Convex ball Fatou property. 完全流形谐映射凸球 Fatou性质微分几何

分类号 O189.31 [理学—基础数学] O186.1 [理学—基础数学]

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1Yi Hu YANG Department of Applied Mathematics, Tongji University, Shanghai 200092 P. R. China.Area Comparison, Superharmonic Functions, and Applications[J].Acta Mathematica Sinica,English Series,2001,17(2):207-216.
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5Yi Hu YANG Department of Applied Mathematics, Tongji University, Shanghai 200092 P. R. China.Area Comparison, Superharmonic Functions, and Applications[J].Acta Mathematica Sinica,English Series,2001,17(2):207-216.
6郭新伟.A Note on the Difference of Gaussian Measure of Two Balls in Hilbert Spaces[J].Chinese Quarterly Journal of Mathematics,1999,14(2):47-51.
7CHEN Qun Mathematics Department, Central China Normal University, Wuhan 430079, China,Institute of Mathematics, Fudan University, Shanghai 200433, China.Harmonic maps with potential from complete manifolds[J].Chinese Science Bulletin,1998,43(21):1780-1786. 被引量：1
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10忻元龙.STABLE HARMONIC MAPS FROM COMPLETE MANIFOLDS[J].Acta Mathematica Scientia,1989,9(4):415-420. 被引量：1

Chinese Annals of Mathematics,Series B

1995年第3期

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FATOU　PROPERTY　ON　HARMONIC　MAPS　FROM　COMPLETE　MANIFOLDS　WITH　NONNEGATIVE　CURVATURE　AT　INFINITY　INTO　CONVEX　BALLS 被引量：2

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FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS 被引量：2

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FATOU　PROPERTY　ON　HARMONIC　MAPS　FROM　COMPLETE　MANIFOLDS　WITH　NONNEGATIVE　CURVATURE　AT　INFINITY　INTO　CONVEX　BALLS 被引量：2