On the regularity of critical points for O'Hara's knot energies: From smoothness to analyticity

Nicole Vorderobermeier

We prove the analyticity of smooth critical points for O'Hara's knot energies ${\mathcal{E}}^{\alpha ,p}$, with $p=1$ and $2<\alpha <3$, subject to a fixed length constraint. This implies, toge…