On O’Hara knot energies I: Regularity for critical knots
On O’Hara knot energies I: Regularity for critical knots
We develop a regularity theory for extremal knots of scale invariant knot energies defined by J. O’Hara in 1991. This class contains as a special case the Möbius energy. For the Möbius energy, due to the celebrated work of Freedman, He, and Wang, we have a relatively good understanding. Their …