Tilak Bhattacharya
Abstract:
In this work we (i) prove a maximum principle for the
modulus of the gradient of infinity-harmonic functions,
(ii) prove some local properties of the modulus, and
(iii) prove that if the modulus is constant on the boundary
of a planar disc then it is constant inside.
Submitted August 10, 2007. Published November 5, 2007.
Math Subject Classifications: 35J60, 35J70.
Key Words: Infinity-harmonic; gradient; maximum principle.
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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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