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

作　　者：KONG Shengli XU Jinju 

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China. [2]Department of Mathematics, Shanghai University, Shanghai 200444, China.

出　　处：《Journal of Partial Differential Equations》2015年第3期197-207,共11页偏微分方程（英文版）

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 R2. In higher dimensions, we also have a similar result to Jagy＇s.

关 键 词：Harmonic function maximum principle level set. 

分 类 号：O175.25[理学—数学]