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

Title & Authors
MAXIMUM PRINCIPLE AND COMPARISON PRINCIPLE OF p-HARMONIC FUNCTIONS VIA p-HARMONIC BOUNDARY OF GRAPHS
Lee, Yong Hah;

Abstract
We prove the maximum principle and the comparison principle of $\small{p}$-harmonic functions via $\small{p}$-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of $\small{p}$-harmonic functions via $\small{p}$-harmonic boundary of graphs.
Keywords
maximum principle;comparison principle;p-harmonic function;p-harmonic boundary;boundary value problem;
Language
English
Cited by
References
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