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Partial regularity for harmonic maps, and related problems

Tristan Riviere·Michael Struwe
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Abstract

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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Tristan Riviere, Michael Struwe. 2006-04-28. Partial regularity for harmonic maps, and related problems. https://arxiv.org/abs/math/0604635

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