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arXiv · 1809.08130

Infinity-Harmonic Potentials and Their Streamlines

Erik Lindgren·Peter Lindqvist
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Abstract

We consider certain solutions of the Infinity-Laplace Equation in planar convex rings. Their ascending streamlines are unique while the descending ones may bifurcate. We prove that bifurcation occurs in the generic situation and as a consequence, the solutions cannot have Lipschitz continuous gradients.

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Erik Lindgren, Peter Lindqvist. 2018-09-21. Infinity-Harmonic Potentials and Their Streamlines. https://arxiv.org/abs/1809.08130

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