Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 130, pp. 1-10.

Title: Some properties of the extreme values of
       infinity-harmonic functions

Author: Tilak Bhattacharya (Western Kentucky Univ., Bowling Green, KY, USA)

Abstract:
 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 09, 2009.
Math Subject Classifications: 35J60, 35J70.
Key Words: Local behavior; extreme values.