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On the Linearized Darboux Equation Arising in Isometric Embedding of the Alexandrov Positive Annulus

On the Linearized Darboux Equation Arising in Isometric Embedding of the Alexandrov Positive Annulus
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摘要 In the present paper system and the solutions to the the solvability condition of the linearized Gauss-Codazzi homogenous system are given. In the meantime, the ＇solvability of a relevant linearized Darboux equation is given. The equations are arising in a geometric problem which is concerned with the realization of the Alexandrov＇s positive annulus in R^3.
作者 Chunhe LI
机构地区 School of Mathematical Sciences
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第3期435-454,共20页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No. 11101068) the Fundamental Research Funds for the Central Universities (No. ZYGX2010J109) the Sichuan Youth Science and Technology Foundation (No. 2011JQ0003)
关键词 Alexandrov＇s positive annulus Darboux equation Gauss-Codazzi system SOLVABILITY 方程 线性 等距嵌入 历山 纤维环 文件系统 可解性条件 几何问题
分类号 O175 [理学—基础数学]
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  • 1LI ChunHe School of Mathematical Science,University of Electronic Science and Technology of China,Chengdu 610054,China.The analyticity of solutions to a class of degenerate elliptic equations[J].Science China Mathematics,2010,53(8):2061-2068. 被引量：2
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  • 9Li, C. H., The analyticity of the solution to a class of degenerate elliptic equation, to appear.
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Chinese Annals of Mathematics,Series B
2013年 第3期

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