Infinity-Harmonic Potentials and Their Streamlines.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS（2019）

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摘要

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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关键词

Infinity-Laplace equation,streamlines,convex rings,infinity-potential function

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