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Regularity of harmonic maps
Journal article   Peer reviewed

Regularity of harmonic maps

Sun-Yung A Chang, Lihe Wang and Paul C Yang
Communications on pure and applied mathematics, Vol.52(9), pp.1099-1111
09/1999
DOI: 10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O

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Abstract

We present an elementary argument of the regularity of weak harmonic maps of a surface into the spheres, as well as the partial regularity of stationary harmonic maps of a higher-dimensional domain into the spheres. The argument does not make use of the structure of Hardy spaces.

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