Fractional div-curl quantities and applications to nonlocal geometric equations

Lastly, the fractional div-curl quantities provide also a new, simpler, proof for Hölder continuity of Ws,n/s-harmonic maps into spheres and we extend this to an argument for Ws,n/s-harmonic maps into homogeneous targets. This is an analogue of Strzelecki's and Toro-Wang's proof for n-harmonic maps into spheres and homogeneous target manifolds, respectively.