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Regularity of harmonic maps
Author(s) -
Chang SunYung A.,
Wang Lihe,
Yang Paul C.
Publication year - 1999
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199909)52:9<1099::aid-cpa3>3.0.co;2-o
Subject(s) - mathematics , argument (complex analysis) , spheres , harmonic map , harmonic , domain (mathematical analysis) , pure mathematics , surface (topology) , mathematical analysis , geometry , physics , acoustics , biochemistry , chemistry , astronomy
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. © 1999 John Wiley & Sons, Inc.