Regularity of minimizing extrinsic polyharmonic maps in the critical dimension

Reference:

Moser, R., 2010. Regularity of minimizing extrinsic polyharmonic maps in the critical dimension. Manuscripta Mathematica, 131 (3-4), pp. 475-485.

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Official URL:

http://dx.doi.org/10.1007/s00229-010-0331-y

Abstract

Regularity of extrinsic polyharmonic maps is proved with a method relying on the gradient flow for the underlying functional. This technique permits more general functionals than studied previously, but is restricted to energy minimizers.

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