TY - JOUR
T1 - A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes
AU - Kong , Shengli
AU - Xu , Jinju
JO - Journal of Partial Differential Equations
VL - 3
SP - 197
EP - 207
PY - 2015
DA - 2015/09
SN - 28
DO - http://doi.org/10.4208/jpde.v28.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/5110.html
KW - Harmonic function
KW - maximum principle
KW - level set
AB -  In this paper,we find two auxiliary functions andmake use of themaximum principle to study the level sets of harmonic function defined on a convex ring with homogeneous Dirichlet boundary conditions in $\mathbb{R}^2$. In higher dimensions, we also have a similar result to Jagy's.