441 research outputs found
Infinity-Harmonic Potentials and Their Streamlines
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.Comment: 21 pages; 1 pictur
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