Electronic Journal of Differential Equations,
Vol. 1994(1994), No. 09, pp. 1-4.

Title: A Rado type theorem for $p$-harmonic functions in the plane

Authors: Tero Kilpel\"ainen (Univ. of Jyvaskyla, Findland)

Abstract: We show that if $u\in C^1(\Omega)$ satisfies the 
$p$-Laplace equation 
      $$ {\rm div}(|\nabla u|^{p-2}\nabla u)=0 $$ 
in $\Omega\setminus \{x\ :u(x)=0\}$,
then $u$ is a solution to the $p$-Laplacian in 
the whole $\Omega\subset R^2$.

Submitted September 29, 1994. Published December 6, 1994.
Math Subject Classification: 35J60, 35B60, 31C45, 30C62. 
Key Words: p-harmonic functions; p-Laplacian; removable sets.