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. <i>Electronic Journal of Differential Equations, 2007</i>(148), pp. 1-11.

Rights

Attribution 4.0 International

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