Normal solutions of the Beltrami equation. II
type: Item
instance of: scholarly article
title: Normal solutions of the Beltrami equation. II
zbMATH Open document ID: 0715.30018
DOI: 10.1016/0022-247X(90)90152-6
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: For part I see the authors in ibid. 125, 247-257 (1987; Zbl 0625.30020). Let \(\mu\) be a complex function defined on the unit disk with \(| \mu | <k<1\) and consider homeomorphisms solving the Beltrami equation \[ F_{\bar z}=\mu F_ z \] we find explicit Ahlfors normal solutions for this equation for \(\mu\) of the following form \[ \mu (z,\bar z)=mz^ a\bar z^ b\chi_ D \] where m is a real number less than one in modulus, \(a+b\) is a nonnegative integer.
Mathematics Subject Classification ID: 30C70
Mathematics Subject Classification ID: 35J55
zbMATH DE Number: 4177472
zbMATH Keywords: Beltrami equations
author: Joseph A. Cima
author: W. Derrick
MaRDI profile type: Publication
cites work: Q3228783
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cites work: Normal solutions of the Beltrami equation
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full work available at URL: 0022-247x(90)90152-6
OpenAlex ID: W4206280634
description: scientific article; zbMATH DE number 4177472