Solutions of Aronsson equation near isolated points

Details Solutions of Aronsson equation near isolated points Solutions of Aronsson equation near isolated points

2008-11-25

arxiv.org/abs/0811.4063v2

Mathematics

Analysis of PDEs

23 pages, 2 figures

Scientific paper

We show that for non-negative solution of the Aronsson equation an isolated
singularity is either removable, or the solution behaves asymptotically like a
general cone. This generalizes the asymptotic behavior theory for infinity
harmonic functions by Savin, Wang and Yu.

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