Geodesic
On critical points of \(p\) harmonic functions in the plane
Electronic journal of differential equations, Tome 1994 (1994) no. 3
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 
@article{EJDE_1994__1994_3_a0,
     author = {Lewis,  John L.},
     title = {On critical points of \(p\) harmonic functions in the plane},
     journal = {Electronic journal of differential equations},
     year = {1994},
     volume = {1994},
     number = {3},
     zbl = {0808.31008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1994__1994_3_a0/}
}
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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/