Regularity of minimizing extrinsic polyharmonic maps in the critical dimension

Regularity of minimizing extrinsic polyharmonic maps in the critical dimension
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DOI:
10.1007/s00229-010-0331-y
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发表时间:
2010-01
影响因子:
0.6
通讯作者:
R. Moser
R. Moser
中科院分区:
数学4区
文献类型:
--
作者:
R. Moser

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用一种依赖于底层泛函的梯度流的方法证明了外在多谐映射的正则性。这种技术允许比以前研究的更一般的功能,但仅限于能量最小化。
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.