A variational problem pertaining to biharmonic maps

Reference:

Moser, R., 2008. A variational problem pertaining to biharmonic maps. Communications in Partial Differential Equations, 33 (9), 1654 -1689.

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Official URL:

http://dx.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 L2-norm of this second derivative. We show existence of minimizers with the direct method and we prove a partial regularity result.

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