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Partial regularity for biharmonic maps, revisited

✍ Scribed by Michael Struwe

Book ID: 106176231
Publisher: Springer
Year: 2008
Tongue: English
Weight: 237 KB
Volume: 33
Category: Article
ISSN: 0944-2669
DOI: 10.1007/s00526-008-0175-4

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📜 SIMILAR VOLUMES

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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.

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## Abstract 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.