Partial regularity for harmonic maps, and related problems

Details Partial regularity for harmonic maps, and related problems Partial regularity for harmonic maps, and related problems

2006-04-28

arxiv.org/abs/math/0604635v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

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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