remarks on the gradient of an infinity-harmonic function
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remarks on the gradient of an infinity-harmonic function

;Tilak Bhattacharya
icsoft 2006 - 1st international conference on software and data technologies, proceedings 2007 Vol. 2007 pp. 1-11
137
bhattacharya2007electronicremarks

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.

Keywords

gradient maximum principlemathematics infinity-harmonic

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