Vol. 234, No. 1, 2008

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Interior and boundary regularity of intrinsic biharmonic maps to spheres

Yin Bon Ku

Vol. 234 (2008), No. 1, 43–67
Abstract

The interior and boundary regularity of weakly intrinsic biharmonic maps from 4-manifolds to spheres is proved.

Keywords
biharmonic maps, regularity, higher-order PDE
Mathematical Subject Classification 2000
Primary: 58E20
Secondary: 35G20
Milestones
Received: 5 February 2007
Revised: 3 May 2007
Accepted: 5 June 2007
Published: 1 January 2008
Authors
Yin Bon Ku
Department of Mathematics
The Hong Kong University of Science and Technology
Clear Water Bay, Kowloon
Hong Kong