A Boundary Harnack Principle for Infinity-Laplacian and Some Related Results

We prove a boundary comparison principle for positive infinity-harmonic functions for smooth boundaries. As consequences, we obtain (a) a doubling property for certain positive infinity-harmonic functions in smooth bounded domains and the half-space, and (b) the optimality of blowup rates of Aronsso...

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Bibliographic Details
Main Author: Tilak Bhattacharya
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2007/78029