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A Boundary Harnack Principle for Infinity-Laplacian and Some Related Results
Boundary Value Problems volume 2007, Article number: 078029 (2007)
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.
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Bhattacharya, T. A Boundary Harnack Principle for Infinity-Laplacian and Some Related Results. Bound Value Probl 2007, 078029 (2007). https://doi.org/10.1155/2007/78029
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DOI: https://doi.org/10.1155/2007/78029