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Infinity-harmonic potentials and their streamlines
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway.
2019 (English)In: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, E-ISSN 1553-5231, Vol. 39, no 8, p. 4731-4746Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
AMER INST MATHEMATICAL SCIENCES-AIMS , 2019. Vol. 39, no 8, p. 4731-4746
Keywords [en]
Infinity-Laplace equation, streamlines, convex rings, infinity-potential function
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-384982DOI: 10.3934/dcds.2019192ISI: 000467538100018OAI: oai:DiVA.org:uu-384982DiVA, id: diva2:1325081
Funder
Swedish Research Council, 2012-3124Swedish Research Council, 2017-03736The Research Council of Norway, 250070Available from: 2019-06-14 Created: 2019-06-14 Last updated: 2019-06-14Bibliographically approved

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Lindgren, Erik

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