A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes
A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes
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DOI：
10.4208/jpde.v28.n3.1
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发表时间：
2015-06
影响因子：
0.3
通讯作者：
Kong;Shengli;Xu;Jinju
中科院分区：
文献类型：
--
作者：
Kong;Shengli;Xu;Jinju
本文找出两个辅助函数，并利用极大值原理研究了R~2中具有齐次Dirichlet边界条件的凸环上调和函数的水平集。在更高的维度上，我们也有类似于Jagy的结果。AMS主题分类：35B45，35J92，35B50《中图法》：O175.25
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 R2. In higher dimensions, we also have a similar result to Jagy’s. AMS Subject Classifications: 35B45, 35J92, 35B50 Chinese Library Classifications: O175.25