Infinity-Harmonic Potentials and Their Streamlines
Analysis of PDEs
2019-02-25 v2
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.
Cite
@article{arxiv.1809.08130,
title = {Infinity-Harmonic Potentials and Their Streamlines},
author = {Erik Lindgren and Peter Lindqvist},
journal= {arXiv preprint arXiv:1809.08130},
year = {2019}
}
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21 pages; 1 picture