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 B_1 lies in the local Hardy space h^1(B_1). As a corollary we obtain a new proof of the energy convexity and uniqueness result for weakly harmonic maps with small energy on B_1. 
Tobias Lamm and Longzhi Lin
math.AP math.DG