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相关期刊：《Acta Mathematica Sinica,English Series》《数学进展》更多>>
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On the Rigidity Theorems for Lagrangian Translating Solitons in Pseudo-Euclidean Space Ⅰ被引量：1
《Acta Mathematica Sinica,English Series》2013年第7期1369-1380,共12页Rui Wei XU Rong Li HUANG 
supported by National Natural Science Foundation of China (Grant Nos. 11101129, 11201318 and 11171091);supported by National Natural Science Foundation of China (Grant No. 11126328);Natural Science Foundation of He'nan Provincial Education Committee (Grant No. 12B110014);Project for Young Key Teachers of He'nan Normal University;the general scientific research project of the Education Department of Guangxi Province (Grant No. 201102ZD007)
Let f be a smooth strictly convex solution ofdefined on a domain Ω C R^n, where ai, bi and c are constants. Then the graph Mvf of △f is a spacelike translating soliton for mean curvature flow in pseudo-Euclidean spa...
关键词：Mean curvature flow translating solitons Monge-Amp^re equation Bernstein Theorem 
完备α度量的相对抛物型仿射球(英文)
《数学进展》2013年第1期106-114,共9页许瑞伟 李兴校 
supported by NSFC(No.11101129,No.11171091);Project for Young Teachers of Henan Normal University(No.2011QK03)
摘要:设y:M→R^(n+1)是一个光滑连通流形到实仿射空间R^(n+1)的局部强凸浸入超曲面,而且是一个定义在区域Ω(?)R^n上的严格凸函数x_(n+1)=f(x_1,x_2,…,x_n)的图.在α相对法化下,相对抛物型仿射球满足一个四阶非线性偏微分方程组.本文...
关键词：相对仿射几何 抛物型仿射球 Bernstein性质 
Interior Regularity on the Abreu Equation
《Acta Mathematica Sinica,English Series》2013年第1期33-38,共6页Bo Hui CHEN An-Min LI Li SHENG 
Supported by the National Key Basic Research and Development Program(Grant No.2006CB805905);National Natural Science Foundation of China(Grant Nos.10631050,11171235,11101129and11126228);the Research Fund for the Doctoral Program of Higher Education of China(Grant No.20060610004);Relative Theory in the String Theory(Grant No.11071173/A010301);Program for New Century Excellent Talents in Ministry of Education(Grant No.10-0588)
In this paper, we prove the interior regularity for the solution to the Abreu equation in any dimension assuming the existence of the C^0 estimate.
关键词：Toric geometry Abreu＇s equation interior estimates 
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