Partial regularity for harmonic maps, revisited

  • Michael Struwe (ETH Zürich)
A3 01 (Sophus-Lie room)


Via gauge theory, we give a new proof of partial regularity for stationary harmonic maps into arbitrary targets. This proof avoids the use of adapted frames and permits to consider targets of "minimal" $C2$ regularity. The proof we present extends to a large class of elliptic systems of quadratic growth.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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