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

Hayk Mikayelyan

arxiv: math/0411659 · v1 · submitted 2004-11-30 · 🧮 math.AP · math.CA

An example of infty-harmonic function, which is not C² on a dense subset

Hayk Mikayelyan This is my paper

classification 🧮 math.AP math.CA

keywords boundarydensefunctionharmonicinftysubsetcertainexample

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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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An example of infty-harmonic function, which is not C² on a dense subset

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