A Variational Problem Pertaining to Biharmonic Maps
- 13 August 2008
- journal article
- research article
- Published by Informa UK Limited in Communications in Partial Differential Equations
- Vol. 33 (9), 1654-1689
- https://doi.org/10.1080/03605300802224698
Abstract
The second derivative of a map into a Riemannian manifold is given by a nonlinear differential operator. We study minimizers and critical points of the L 2-norm of this second derivative. We show existence of minimizers with the direct method and we prove a partial regularity result.Keywords
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