Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 18, pp. 1-5.

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

Author: Hayk Mikayelyan (Max-Planck-Institut, Leipzig, Germany)
 
Abstract: 
 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.