A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes

被引：3

作者：

Kong Shengli ^{[1
]}

Xu Jinju ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 28卷 / 03期

关键词：

Harmonic function; maximum principle; level set;

D O I：

10.4208/jpde.v28.n3.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we find two auxiliary functions and make use of the maximum principle to study the level sets of harmonic function defined on a convex ring with homogeneous Dirichlet boundary conditions in R-2. In higher dimensions, we also have a similar result to Jagy's.

引用

页码：197 / 207

页数：11

共 9 条

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