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.
Show me the PDF file (237 KB), TEX file, and other files for this article.
| Tilak Bhattacharya |
Department of Mathematics
Western Kentucky University
Bowling Green, KY 42101, USA
Return to the EJDE web page