Electron. J. Diff. Eqns., Vol. 1995(1995), No. 04, pp. 1-5.

Peter Lindqvist & Juan J. Manfredi

**Abstract:**

The Harnack inequality for nonnegative viscosity
solutions of the equation
is proved, extending a previous result of L.C. Evans for smooth
solutions. The method of proof consists in considering
as the limit as
of the more familiar p-harmonic
equation
.

Submitted February 22, 1995. Published April 3, 1995.

Math Subject Classification: 35J70, 26A16.
Key words: Harnack inequality, p-harmonic equations.

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Peter Lindqvist

Department of Mathematics, Norwegian Institute of Technology, N-7034 Trondheim, Norway

e-mail: lqvist@imf.unit.no

Juan J. Manfredi

Department of Mathematics,
University of Pittsburgh,
Pittsburgh, PA 15260, USA

e-mail: juanjo@na0b.math.pitt.edu

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