Bhattacharya, Tilak2021-08-182021-08-182007-11-05Bhattacharya, T. (2007). Remarks on the gradient of an infinity-harmonic function. <i>Electronic Journal of Differential Equations, 2007</i>(148), pp. 1-11.1072-6691https://hdl.handle.net/10877/14362In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalInfinity-harmonicGradientMaximum principleArticle