Remarks on the regularity of biharmonic maps in four dimensions

Reference:

Moser, R., 2006. Remarks on the regularity of biharmonic maps in four dimensions. Communications on Pure and Applied Mathematics, 59 (3), pp. 317-329.

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Official URL:

http://dx.doi.org/10.1002/cpa.20117

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.

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