Remarks on the gradient of an infinity-harmonic function
Date
2007-11-05
Authors
Bhattacharya, Tilak
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Infinity-harmonic, Gradient, Maximum principle
Citation
Bhattacharya, T. (2007). Remarks on the gradient of an infinity-harmonic function. Electronic Journal of Differential Equations, 2007(148), pp. 1-11.
Rights
Attribution 4.0 International