• Exterior Univalent Harmonic Ma...

Result: Exterior Univalent Harmonic Mappings With Finite Blaschke Dilatations: Exterior univalent harmonic mappings with finite Blaschke dilatations

Title:
Exterior Univalent Harmonic Mappings With Finite Blaschke Dilatations: Exterior univalent harmonic mappings with finite Blaschke dilatations
Authors:
Daoud Bshouty, W. Hengartner
Source:
Canadian Journal of Mathematics. 51:470-487
Publisher Information:
Canadian Mathematical Society, 1999.
Publication Year:
1999
Subject Terms:
Minimal surfaces and optimization, General theory of univalent and multivalent functions of one complex variable, Quasiconformal mappings in the complex plane, Blaschke product, 0101 mathematics, 01 natural sciences
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1496-4279
0008-414X
DOI:
10.4153/cjm-1999-021-8
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0008414X00007215
http://cms.math.ca/cjm/abstract/pdf/149095.pdf
https://cms.math.ca/10.4153/CJM-1999-021-8
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....4012d2d4b826747cc3f33647573f18b9
Database:
OpenAIRE

Further Information

In this article we characterize the univalent harmonic mappings from the exterior of the unit disk, Δ, onto a simply connected domain Ω containing infinity and which are solutions of the system of elliptic partial differential equations where the second dilatation function a(z) is a finite Blaschke product. At the end of this article, we apply our results to nonparametric minimal surfaces having the property that the image of its Gauss map is the upper half-sphere covered once or twice.