Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2007; 22(2): 277-287

Printed June 1, 2007

Copyright © The Korean Mathematical Society.

Energy finite $p$-harmonic functions on graphs and rough isometries

Seok Woo Kim, Yong Hah Lee

Konkuk University, Ewha Womans University

Abstract

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We prove that if a graph $G$ of bounded degree has finitely many $p$-hyperbolic ends ($1

Keywords: $p$-harmonic function, almost every path, rough isometry

MSC numbers: Primary 31C20

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