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arXiv · 2006.15328

The Gradient Flow of Infinity-Harmonic Potentials

Erik Lindgren·Peter Lindqvist
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Abstract

We study the streamlines of $\infty$-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along streamlines outside the set of meeting points, the infinity-ridge.

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Erik Lindgren, Peter Lindqvist. 2020-06-27. The Gradient Flow of Infinity-Harmonic Potentials. https://arxiv.org/abs/2006.15328

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