[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2012.49.6.1241

MAXIMUM PRINCIPLE AND COMPARISON PRINCIPLE OF p-HARMONIC FUNCTIONS VIA p-HARMONIC BOUNDARY OF GRAPHS

Lee, Yong Hah (Department of Mathematics Education Ewha Womans University)

Publication Information

Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1241-1250 More about this Journal

Abstract

We prove the maximum principle and the comparison principle of $p$ -harmonic functions via $p$ -harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of $p$ -harmonic functions via $p$ -harmonic boundary of graphs.

Keywords

maximum principle; comparison principle; p-harmonic function; p-harmonic boundary; boundary value problem;

Citations & Related Records

Reference

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