Infinity-harmonic potentials and their streamlines

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2019Embargo end date: 01 Jan 2018Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 39, pages 4,731-4,746 (issn: 1078-0947, eissn: 1553-5231,

Copyright policy )Funded by:RCN | Waves and Nonlinear Pheno...

Authors: Lindgren, Erik; Lindqvist, Peter;

doi: 10.3934/dcds.2019192 , 10.48550/arxiv.1809.08130

arXiv: 1809.08130

handle: 11250/2630691

Infinity-harmonic potentials and their streamlines

- Summary
- Subjects
- Metrics

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.

21 pages; 1 picture

Related Organizations

Stockholm University
Sweden
Uppsala University
Sweden

Keywords

Mathematics - Analysis of PDEs, Infinity-Laplace Equation, streamlines, convex rings, infinity-potential function, FOS: Mathematics, Analysis of PDEs (math.AP)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	6
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average