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  • Research Article
  • Open Access

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

Boundary Value Problems20072007:078029

https://doi.org/10.1155/2007/78029

  • Received: 27 June 2006
  • Accepted: 27 October 2006
  • Published:

Abstract

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 Aronsson's examples of singular solutions in cones.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Related Result

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Authors’ Affiliations

(1)
Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101, USA

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