Electron. J. Diff. Eqns., Vol. 2005(2005), No. 18, pp. 1-5.

Example of an $\infty$-harmonic function which is not $C^2$ on a dense subset

Hayk Mikayelyan

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.

Submitted November 24, 2004. Published February 5, 2005.
Math Subject Classifications: 35B65, 35J70, 26B05.
Key Words: Infinity-Laplacian.

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Hayk Mikayelyan
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstrasse 22
04103 Leipzig, Germany
email: hayk@mis.mpg.de

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