On Critical Points of p Harmonic Functions in the Plane

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dc.contributor.authorLewis, John L.
dc.date.accessioned2018-08-21T15:42:40Z
dc.date.available2018-08-21T15:42:40Z
dc.date.issued1994-07-06
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent4 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLewis, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7560
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1994, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectp-harmonic functions
dc.subjectp-Laplacian
dc.subjectQuasiregular mappings
dc.titleOn Critical Points of p Harmonic Functions in the Plane
dc.typeArticle

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