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Harnack and mean value inequalities on graphs |
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| Authors: | Yong LIN Hongye SONG |
| Institution: | 1. School of General Education, Beijing International Studies University, Beijing 100024, China;2. Department of Mathematics, Renmin University of China, Beijing 100872, China |
| Abstract: | We prove a Harnack inequality for positive harmonic functions on graphs which is similar to a classical result of Yau on Riemannian manifolds. Also, we prove a mean value inequality of nonnegative subharmonic functions on graphs. |
| Keywords: | harmonic function subharmonic function Harnack inequality mean value inequality graph 58J35 |
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