We study local behavior of infinity-harmonic functions, in particular, the extreme values of such functions on a ball. We show that the extreme values obey certain relationships, and use this to derive an interior growth estimate.
Submitted August 4, 2009. Published October 9, 2009.
Math Subject Classifications: 35J60, 35J70.
Key Words: Local behavior; extreme values.
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| Tilak Bhattacharya |
Department of Mathematics, Western Kentucky University
Bowling Green, KY 42101, USA
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