Electron. J. Diff. Eqns.,
Vol. 1994(1994), No. 09, pp. 1-4.

### A Rado type theorem for p-harmonic functions in the plane

Tero Kilpelainen

**Abstract:**

We show that if
satisfies the
p-Laplace equation

in
,
then u is a solution to the p-Laplacian in
the whole
.

Submitted September 29, 1994.Published December 6, 1994.

Math Subject Classification: 35J60, 35B60, 31C45, 30C62.

Key Words: p-harmonic functions, p-Laplacian, removable sets.

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Tero Kilpelainen

Department of Mathematics,
University of Jyvaskyla,
P.O. Box 35, 40351 Jyvaskyla,
Finland

e-mail: TeroK@math.jyu.fi

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