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A regularity theory of biharmonic maps
Journal article   Peer reviewed

A regularity theory of biharmonic maps

Sun-Yung A Chang, Lihe Wang and Paul C Yang
Communications on pure and applied mathematics, Vol.52(9), pp.1113-1137
09/1999
DOI: 10.1002/(SICI)1097-0312(199909)52:9<1113::AID-CPA4>3.0.CO;2-7

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Abstract

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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