An example of $\infty$-harmonic function, which is not $C^2$ on a dense subset

Details An example of $\infty$-harmonic function, which is not $C^2$ on a dense subset An example of $\infty$-harmonic function, which is not $C^2$ on a dense subset

2004-11-30

arxiv.org/abs/math/0411659v1

Mathematics

Analysis of PDEs

5 pages, 1 figure

Scientific paper

We show that for certain boundary values McShane-Whitney's
minimal-extension-like function is $\infty$-harmonic near the boundary and is
not $C^2$ on a dense subset.

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