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Partial regularity for harmonic maps, and related problems

偏微分方程分析 2007-05-23 v1 微分几何

摘要

Via Gauge theory, we give a new proof of partial regularity for harmonic maps in dimension m>2 into arbitrary targets. This proof avoids the use of adapted frames and permits to consider targets of "minimal" C^2 regularity. The proof we present moreover extends to a large class of elliptic systems of quadratic growth.

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引用

@article{arxiv.math/0604635,
  title  = {Partial regularity for harmonic maps, and related problems},
  author = {Tristan Riviere and Michael Struwe},
  journal= {arXiv preprint arXiv:math/0604635},
  year   = {2007}
}

备注

10 pages