On Critical Points of p Harmonic Functions in the Plane
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We show that if u is a p harmonic function, 1 < p < ∞, in the unit disk and equal to a polynomial P of positive degree on the boundary of this disk, then ∇u has at most deg P − 1 zeros in the unit disk.
CitationLewis, J. L. (1994). On critical points of p harmonic functions in the plane. Electronic Journal of Differential Equations, 1994(03), pp. 1-4.
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