Regularity of harmonic maps

Sun Yung A. Chang; Lihe Wang; Paul C. Yang

doi:10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O

Regularity of harmonic maps

Sun Yung A. Chang, Lihe Wang, Paul C. Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1099-1111
Number of pages	13
Journal	Communications on Pure and Applied Mathematics
Volume	52
Issue number	9
DOIs	https://doi.org/10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O
State	Published - Sep 1999

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O

Cite this

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title = "Regularity of harmonic maps",

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.",

author = "Chang, \{Sun Yung A.\} and Lihe Wang and Yang, \{Paul C.\}",

year = "1999",

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AU - Chang, Sun Yung A.

AU - Wang, Lihe

AU - Yang, Paul C.

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N2 - 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.

AB - 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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U2 - 10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O

DO - 10.1002/(SICI)1097-0312(199909)52:9<1099::AID-CPA3>3.0.CO;2-O

M3 - Article

AN - SCOPUS:0033456860

SN - 0010-3640

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SP - 1099

EP - 1111

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 9

ER -

Regularity of harmonic maps

Abstract

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