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.
Original languageEnglish
Pages (from-to)475-485
Number of pages11
JournalManuscripta Mathematica
Volume131
Issue number3-4
DOIs
Publication statusPublished - 20 Jan 2010

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