Partial regularity for harmonic maps, and related problems

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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.
10 pages

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Analysis of PDEs, Differential Geometry, 35J60; 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/111731

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604635
 http://arxiv.org/abs/math/0604635

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arXiv