Geodesic
Example of an \(\infty\)-harmonic function which is not \(C^2\) on a dense subset
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 35B65, 35J70, 26B05
Keywords: infinity-Laplacian 
@article{EJDE_2005__2005__a69,
     author = {Mikayelyan,  Hayk},
     title = {Example of an \(\infty\)-harmonic function which is not {\(C^2\)} on a dense subset},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1129.35421},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a69/}
}
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Mikayelyan,  Hayk. Example of an \(\infty\)-harmonic function which is not \(C^2\) on a dense subset. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a69/