Partial regularity for harmonic maps and related problems

Partial regularity for harmonic maps and related problems
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DOI:
10.1002/cpa.20205
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发表时间:
2006-04
影响因子:
3
通讯作者:
T. Rivière;M. Struwe
T. Rivière;M. Struwe
中科院分区:
数学1区
文献类型:
--
作者:
T. Rivière;M. Struwe

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利用规范理论,给出了m ≥ 3维调和映射到任意目标的部分正则性的一个新证明.这个证明避免了使用适应框架,并允许我们考虑“最小”C2正则性的目标。我们提出的证明扩展到一大类椭圆系统。© 2007威利期刊公司
Via gauge theory, we give a new proof of partial regularity for harmonic maps in dimensions m ≥ 3 into arbitrary targets. This proof avoids the use of adapted frames and permits us to consider targets of “minimal” C2‐regularity. The proof we present extends to a large class of elliptic systems. © 2007 Wiley Periodicals, Inc.