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Fractional div-curl quantities and applications to nonlocal geometric equations

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0 Published in 2017 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2018.03.016

Abstract: Abstract We investigate a fractional notion of gradient and divergence operator. We generalize the div-curl estimate by Coifman–Lions–Meyer–Semmes to fractional div-curl quantities, obtaining, in particular, a nonlocal version of Wente's lemma. We demonstrate how these… read more here.

Keywords: harmonic maps; div curl; curl quantities; fractional div ... See more keywords