Estimates for the energy density of critical points of a class of conformally invariant variational problems
Abstract
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 B1 lies in the local Hardy space h1(B1). As a corollary we obtain a new proof of the energy convexity and uniqueness result for weakly harmonic maps with small energy on B1.
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