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

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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.
5 pages, 1 figure

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Analysis of PDEs, Classical Analysis and ODEs, 35B65, 35J70, 26B05

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http://salesiana.dossiersoluciones.com/handle/123456789/73427

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411659
 http://arxiv.org/abs/math/0411659

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arXiv