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__a169,
     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__a169/}
}
TY  - JOUR
AU  - Mikayelyan,  Hayk
TI  - Example of an \(\infty\)-harmonic function which is not \(C^2\) on a dense subset
JO  - Electronic journal of differential equations
PY  - 2005
VL  - 2005
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a169/
LA  - en
ID  - EJDE_2005__2005__a169
ER  - 
%0 Journal Article
%A Mikayelyan,  Hayk
%T Example of an \(\infty\)-harmonic function which is not \(C^2\) on a dense subset
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a169/
%G en
%F EJDE_2005__2005__a169
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__a169/