Electron. J. Diff. Equ., Vol. 2009(2009), No. 130, pp. 1-10.

Some properties of the extreme values of infinity-harmonic functions

Tilak Bhattacharya

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
email: tilak.bhattacharya@wku.edu

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