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HARNACK AND MEAN VALUE INEQUALITIES ON GRAPHS

HARNACK AND MEAN VALUE INEQUALITIES ON GRAPHS
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摘要 We prove a Harnack inequality for positive harmonic functions on graphs whichis similar to a classical result of Yau on Riemannian manifolds. Also, we prove a mean valueinequality of nonnegative subharmonic functions on graphs. We prove a Harnack inequality for positive harmonic functions on graphs whichis similar to a classical result of Yau on Riemannian manifolds. Also, we prove a mean valueinequality of nonnegative subharmonic functions on graphs.
作者 Yong LIN Hongye SONG 林勇;宋宏业
出处 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1751-1758,共8页 数学物理学报(B辑英文版)
基金 supported by the National Science Foundation of China(11671401)
关键词 harmonic function subharmonic function Harnack inequality mean valueinequality GRAPH harmonic function subharmonic function Harnack inequality mean valueinequality graph
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