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 数学进展 - 2016, Vol. 45(6): 932-938
 研究论文
 Carnot群上双调和函数的均值定理 A Mean Value Theorem for Bi-harmonic Function on Carnot Group 谭沈阳1,黄体仁2, 张学华3 TAN Shenyang1, HUANG Tiren2, ZHANG Xuehua3 1. 南京理工大学泰州科技学院基础部, 泰州, 江苏, 225300; 2. 浙江理工大学数学系, 杭州, 浙江, 310018; 3. 黄山学院数理统计学院, 黄山, 安徽, 245041 1. Taizhou Institute of Sci. $\&$ Tech., NUST, Taizhou, Jiangsu, 225300, P. R. China; 2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, P. R. China; 3. Department of Mathematics and Statistics, Huangshan, Anhui, 245041, P. R. China 收稿日期: 2014-12-17 出版日期: 2016-11-10 2016, Vol. 45(6): 932-938 DOI: 10.11845/sxjz.2014210b
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Abstract：This paper mainly gets a mean value theorem for bi-harmonic function by iteration method on Carnot group. As an application of this theorem, a global Liouville theorem about the bi-harmonic operator on Carnot group is proved.
 PACS: O175.25

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