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A regularity theory of biharmonic maps

✍ Scribed by Sun-Yung A. Chang; Lihe Wang; Paul C. Yang

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 139 KB
Volume: 52
Category: Article
ISSN: 0010-3640
DOI: 10.1002/(sici)1097-0312(199909)52:9<1113::aid-cpa4>3.0.co;2-7

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✦ Synopsis

In this article we prove the regularity of weakly biharmonic maps of domains in Euclidean four space into spheres, as well as the corresponding partial regularity result of stationary biharmonic maps of higher-dimensional domains into spheres.

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