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arXiv · 1202.5758

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

Tobias Lamm·Longzhi Lin
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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 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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Tobias Lamm, Longzhi Lin. 2012-02-26. Estimates for the energy density of critical points of a class of conformally invariant variational problems. https://doi.org/10.1515/acv-2012-0104

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