Geodesic
On critical points of $p$ harmonic functions in the plane
Electronic Journal of Differential Equations, Tome 1994 (1994) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show that if u is a p harmonic function, $1 less than p less than infty$, in the unit disk and equal to a polynomial P of positive degree on the boundary of this disk, then $ \nabla u $ has at most degP - 1 zeros in the unit disk.
Classification : 35J70, 35B05
Keywords: p-harmonic functions, p-Laplacian, quasiregular mappings 
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     author = {Lewis, John L.},
     title = {On critical points of $p$ harmonic functions in the plane},
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Lewis, John L. On critical points of $p$ harmonic functions in the plane. Electronic Journal of Differential Equations, Tome 1994 (1994) no. 3. http://geodesic.mathdoc.fr/item/EJDE_1994__1994_3_a0/