Geodesic
A Radó type theorem for \(p\)-harmonic functions in the plane
Electronic journal of differential equations, Tome 1994 (1994) no. 9
We show that if

$ {\rm div}(|\nabla u|^{p-2}\nabla u)=0 $

in $\Omega\setminus \{x\ :u(x)=0\}$, then u is a solution to the p-Laplacian in the whole $\Omega\subset R^2$.
Classification : 35J60, 35B60, 31C45, 30C62
Keywords: p-harmonic functions, p-Laplacian, removable sets 
@article{EJDE_1994__1994_9_a0,
     author = {Kilpel\"ainen,  Tero},
     title = {A {Rad\'o} type theorem for \(p\)-harmonic functions in the plane},
     journal = {Electronic journal of differential equations},
     year = {1994},
     volume = {1994},
     number = {9},
     zbl = {0809.31005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1994__1994_9_a0/}
}
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Kilpeläinen,  Tero. A Radó type theorem for \(p\)-harmonic functions in the plane. Electronic journal of differential equations, Tome 1994 (1994) no. 9. http://geodesic.mathdoc.fr/item/EJDE_1994__1994_9_a0/