| 概要 | Fractional harmonic mappings are critical points of a generalized
Dirichlet Energy where the gradient is replaced with a (non-local)
differential operator of possibly non-integer order. I will present
aspects of the regularity theory of (non-local) fractional harmonic maps
into manifolds, which extends (and contains) the theory of
(poly-)harmonic mappings. I also will mention, how one can show
regularity for critical points of the Moebius (Knot-) Energy, applying
the techniques developed in this theory. |