A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes
Year: 2015
Author: Shengli Kong, Jinju Xu
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 197–207
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v28.n3.1
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 197–207
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Harmonic function
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