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Remarks on the regularity of biharmonic maps in four dimensions
Author(s) -
Moser Roger
Publication year - 2006
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/cpa.20117
Subject(s) - biharmonic equation , mathematics , domain (mathematical analysis) , pure mathematics , square integrable function , manifold (fluid mechanics) , integrable system , riemannian manifold , mathematical analysis , square (algebra) , geometry , boundary value problem , mechanical engineering , engineering
We study intrinsic biharmonic maps on a four‐dimensional domain into a smooth, compact Riemannian manifold. We prove a partial regularity result without the assumption that the second derivatives are square‐integrable. © 2005 Wiley Periodicals, Inc.