Infinity-harmonic potentials and their streamlines
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Publication:2000182
DOI10.3934/DCDS.2019192zbMATH Open1432.35067arXiv1809.08130OpenAlexW2890368343MaRDI QIDQ2000182
Author name not available (Why is that?)
Publication date: 28 June 2019
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1809.08130
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