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国家自然科学基金(10571135): 作品数：16被引量：18H指数：3; 导出分析报告; 相关作者：阮其华赵成兵韩静潘一飞戴绍虞更多>>; 相关机构：同济大学莆田学院江西师范大学金陵科技学院更多>>; 相关期刊：《系统科学与数学》《Science China Mathematics》《浙江师范大学学报（自然科学版）》《Acta Mathematica Scientia》更多>>; 相关主题：HOLOMORPHICUNIQUENESSTRUNCATEDMULTIPLICITIESMAPS更多>>; 相关领域：理学自然科学总论更多>>

L-harmonic functions with polynomial growth of a fixed rate: 《Science China Mathematics》2009年第12期2855-2862,共8页ZHOU ChaoHui CHEN ZhiHua; supported by National Natural Science Foundation of China(Grant No.10571135); Yau made the following conjecture:For a complete noncompact manifold with nonnegative Ricci curvature the space of harmonic functions with polynomial growth of a fixed rate is finite dimensional.we extend the result o...; 关键词：L-harmonic function symmetric diffusion operator Bakery-Emery Ricci curvature 53C40

三维光滑复射影簇上全纯曲线的退化性: 《数学学报（中文版）》2008年第5期901-910,共10页颜启明朱磊; 国家自然科学基金资助项目(10571135);复旦研究生创新基金资助项目(EYH5928004); 讨论三维光滑复射影簇X上全纯曲线f:C→X的退化性.设D_1…,D_r为X上处于一般位置的相异的不可约有效除子.假定D_1…,D_r均为nef除子,而且存在正整数n_1…,n_r,c,使得n_in_jn_k(D_i.D_j.D_k)=c对所有i,j,k均成立.如果f的像取不到D_1…,D_...; 关键词：值分布理论全纯曲线除子代数退化

Some Uniqueness Theorems with Truncated Multiplicities of Meromorphic Mappings: 《Chinese Annals of Mathematics,Series B》2008年第5期531-542,共12页Qiming YAN; the National Natural Science Foundation of China (No. 10571135);the Doctoral Program Foundation of the Ministry of Education of China (No. 20050240711);the Foundation of theCommittee of Science and Technology of Shanghai (No. 03JC14027); In this article, some uniqueness theorems of meromorphic mappings in sev- eral complex variables sharing hyperplanes in general position are proved with truncated multiplicities.; 关键词：Value distribution theory Uniqueness theorem Meromorphic mapping

The Classification of Proper Holomorphic Mappings Between Special Hartogs Triangles of Different Dimensions被引量：1: 《Chinese Annals of Mathematics,Series B》2008年第5期557-566,共10页Zhihua CHEN Yang LIU; the National Natural Science Foundation of China (No. 10571135);the Doctoral Program Foundation of the Ministry of Education of China (No. 20050240711); The authors discuss the proper holomorphic mappings between special Hartogs triangles of different dimensions and obtain a corresponding classification theorem.; 关键词：Proper holomorphic mapping Hartogs triangle Automorphism group

带权流形上热方程的Harnack估计: 《数学年刊（A辑）》2008年第2期203-208,共6页阮其华陈志华; 国家自然科学基金(No．10571135);福建省青年基金(No．2006F3112);福建省教育厅基金(No．JA06036)资助的项目．; 利用两种不同的方法讨论了带权流形上热方程和Schr(?)dinger方程解的Harnack估计,先利用最大模原理证明热方程解的梯度估计,从而得到解的Harnack估计,另外利用算子半群的方法证明位势函数为常数的Schr(?)dinger方程解的Harnack估计.; 关键词：带权流形 Harnack估计热方程

亚纯映射相交超曲面的唯一性定理: 《浙江师范大学学报（自然科学版）》2008年第2期152-156,共5页宋薇方涛; 国家自然科学基金资助项目(10571135); 利用Veronese嵌入映射的性质及亚纯映射相交超平面的唯一性问题的研究方法,讨论了亚纯映射相交d次不可约超曲面的唯一性问题,并且给出了一个亚纯映射相交超曲面的唯一性定理.; 关键词：亚纯映射值分布唯一性定理相交超曲面

Weak Cartan-type Second Main Theorem for Holomorphic Curves: 《Acta Mathematica Sinica,English Series》2008年第3期455-462,共8页Qi Ming YAN Zhi Hua CHEN; the National Natural Science Foundation of China (No.10571135);Doctoral Program Foundation of the Ministry of Education of China (No.20050240711);Foundation of Committee of Science and Technology of Shanghai(03JC14027); In this paper, a weak Cartan-type second theorem for holomorphic curve f ： C→P^n（C） intersecting hypersurfaces Dj, 1≤j≤q, in P^n（C） in general position with degree dj is given as follows： For every ε〉0, the...; 关键词：holomorphic curve Nevanlinna Theory second main theorem HYPERSURFACE

关于Heisenberg群上次Laplace算子的唯一延拓性被引量：5: 《系统科学与数学》2008年第1期99-106,共8页韩静戴绍虞潘一飞; 国家自然科学基金(10571135，10511140543);同济大学理科基金(1390219060)资助课题．; 在Heisenberg群H^n中对微分不等式|Δ_(H^n)u|≤C/(d(z,t)~2)φ|u|的非负解证明了某个唯一延拓性结果.; 关键词：唯一延拓性 HEISENBERG群次LAPLACE算子

Proper holomorphic self-maps of smooth bounded Reinhardt domains in C^2: 《Science China Mathematics》2008年第1期93-100,共8页CHEN ZhiHua~1 & PAN YiFei~(2,3+) 1 Department of Mathematics, Tongji University, Shanghai 200092, China 2 Department of Mathematical Sciences, Indiana University-Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA 3 School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China; The first author's work was supported in part by the National Natural Science Foundation of China (Grant No.10571135);the Doctoral Program Foundation of the Ministry of Education of China (Grant No. 20050240711); It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain in C^2 is an automorphism.; 关键词：Reinhardt domain PROPER HOLOMORPHIC MAPS

完备Khler流形上的单值化定理: 《同济大学学报（自然科学版）》2007年第8期1108-1112,共5页赵成兵; 国家自然科学基金资助项目(10571135);安徽建筑工业学院博士启动基金资助项目(2007-6-3); 现得到完备非紧且Ricci曲率非负有界n维(m=2n)的Khler流形M上的一个单值化定理.如果它满足如下条件:①kr(x0)≥-c/1+r2;②sobolev不等式‖f‖p≤C0‖▽f‖q,f∈C0∞(M),1≤q≤n,1/p=1/q-1/m;③∫_M Rnic<∞,那么,M是双全纯与一个拟...; 关键词：RICCI曲率有限拓扑型极大体积增长

国家自然科学基金(10571135)