On Critical Points of p Harmonic Functions in the Plane
Date
1994-07-06
Authors
Lewis, John L.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
p-harmonic functions, p-Laplacian, Quasiregular mappings
Citation
Lewis, J. L. (1994). On critical points of p harmonic functions in the plane. <i>Electronic Journal of Differential Equations, 1994</i>(03), pp. 1-4.
Rights
Attribution 4.0 International