Electron. J. Diff. Eqns., Vol. 1994(1994), No. 03, pp. 1-4.
On Critical Points of
Harmonic Functions in the Plane
John L. Lewis
We show that if u is a p harmonic function,
, in the unit disk and equal to a polynomial
P of positive degree on the boundary of this disk, then
has at most degP - 1 zeros in the unit disk.
Submitted March 30, 1994. Published July 6, 1994.
Math Subject Classification: 35J70, 35B05.
Key Words: p-harmonic functions, p-Laplacian, quasiregular mappings.
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John L Lewis
Department of Mathematics, University of Kentucky
Lexington, Kentucky 40506-0027, USA
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