The gradient flow of infinity-harmonic potentials

DOI10.1016/J.AIM.2020.107526zbMATH Open1466.35163arXiv2006.15328OpenAlexW3110838577WikidataQ114211632 ScholiaQ114211632MaRDI QIDQ2219331

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Publication date: 20 January 2021

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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.

Full work available at URL: https://arxiv.org/abs/2006.15328

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