Nodal sets and horizontal singular sets of H-harmonic functions on the Heisenberg group

被引：4
|
作者：
Tian, Long [1 ]
Yang, Xiaoping [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2014年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Nodal set; horizontal singular set; H-harmonic function; countably rectifiable; EIGENFUNCTIONS; REGULARITY; EQUATIONS; OPERATORS;
D O I：
10.1142/S0219199713500491
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give measure estimates of nodal sets of H-harmonic functions on the Heisenberg group H-n. We also introduce a definition of horizontal singular sets and show the geometric structure of the horizontal singular sets of H-harmonic functions.
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页数：24
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