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Lipschitz property of harmonic function on graphs |
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| Authors: | Yong Lin |
| Affiliation: | a Department of Mathematics, Information School, Renmin University of China, Beijing, 100872, PR China b Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, 315100, PR China |
| Abstract: | This paper proves the local Lipschitz property for harmonic (or positive subharmonic) functions on graphs. An example is also obtained to show that the global Lipschitz property of harmonic function on graphs does not hold. |
| Keywords: | Lipschitz property Harmonic function Laplace operator Graph |
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