A regularity theory of biharmonic maps

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

doi:10.1002/(SICI)1097-0312(199909)52:9<1113::AID-CPA4>3.0.CO;2-7

A regularity theory of biharmonic maps

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

Mathematics

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

89 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1113-1137
Number of pages	25
Journal	Communications on Pure and Applied Mathematics
Volume	52
Issue number	9
DOIs	https://doi.org/10.1002/(SICI)1097-0312(199909)52:9<1113::AID-CPA4>3.0.CO;2-7
State	Published - Sep 1999

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1002/(SICI)1097-0312(199909)52:9<1113::AID-CPA4>3.0.CO;2-7

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A regularity theory of biharmonic maps

Abstract

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