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

Details 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

2012-02-26

arxiv.org/abs/1202.5758v1

Mathematics

Analysis of PDEs

17 pages

Scientific paper

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.

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