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A regularity theory of biharmonic 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<1113::aid-cpa4>3.0.co;2-7
Subject(s) - biharmonic equation , mathematics , spheres , euclidean geometry , euclidean space , space (punctuation) , mathematical analysis , pure mathematics , geometry , boundary value problem , physics , computer science , astronomy , operating system
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. © 1999 John Wiley & Sons, Inc.