Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces

We show the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.

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Main Authors: Li Chen, Shi-Zhong Du, Xu-Qian Fan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/512383
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author Li Chen
Shi-Zhong Du
Xu-Qian Fan
author_facet Li Chen
Shi-Zhong Du
Xu-Qian Fan
author_sort Li Chen
collection DOAJ
description We show the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.
format Article
id doaj-art-6674e72ca92f429e96ab31ad1cecc184
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-6674e72ca92f429e96ab31ad1cecc1842025-02-03T01:13:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/512383512383Rotationally Symmetric Harmonic Diffeomorphisms between SurfacesLi Chen0Shi-Zhong Du1Xu-Qian Fan2Faculty of Mathematics & Computer Science, Hubei University, Wuhan 430062, ChinaThe School of Natural Sciences and Humanities, Shenzhen Graduate School, The Harbin Institute of Technology, Shenzhen 518055, ChinaDepartment of Mathematics, Jinan University, Guangzhou 510632, ChinaWe show the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.http://dx.doi.org/10.1155/2013/512383
spellingShingle Li Chen
Shi-Zhong Du
Xu-Qian Fan
Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
Abstract and Applied Analysis
title Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
title_full Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
title_fullStr Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
title_full_unstemmed Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
title_short Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces
title_sort rotationally symmetric harmonic diffeomorphisms between surfaces
url http://dx.doi.org/10.1155/2013/512383
work_keys_str_mv AT lichen rotationallysymmetricharmonicdiffeomorphismsbetweensurfaces
AT shizhongdu rotationallysymmetricharmonicdiffeomorphismsbetweensurfaces
AT xuqianfan rotationallysymmetricharmonicdiffeomorphismsbetweensurfaces