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Estimates for the energy density of critical points of a class of conformally invariant variational problems

Estimates for the energy density of critical points of a class of conformally invariant variational problems

We show that the energy density of critical points of a class of conformally invariant variational problems with small energy on the unit 2-disk lies in the local Hardy space . As a corollary we obtain a new proof of the energy convexity and uniqueness result for weakly harmonic maps …