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Regularity of minimizing extrinsic polyharmonic maps in the critical dimension

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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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  1. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    Roger Moser

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  1. Roger Moser
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Correspondence to Roger Moser.

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Moser, R. Regularity of minimizing extrinsic polyharmonic maps in the critical dimension. manuscripta math. 131, 475–485 (2010). https://doi.org/10.1007/s00229-010-0331-y

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  • DOI: https://doi.org/10.1007/s00229-010-0331-y

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