A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes |
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| Authors: | Shengli Kong & Jinju Xu |
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| 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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| Keywords: | Harmonic function maximum principle level set |
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