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Partial regularity for harmonic maps and related problems

Tristan Rivière, Michael Struwe

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Source: Crossref

Published: Jul 2, 2007

DOI: 10.1002/cpa.20205

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Source abstract

Abstract 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” C 2 ‐regularity. The proof we present extends to a large class of elliptic systems. © 2007 Wiley Periodicals, Inc.

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