S. Blatt

activity

20112023

most citedHard analysis meets critical knots (Stationary points of the Moebius energy are smooth)

49 citations · 92 across the 19 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.AP2011★ 1 cited

Stationary Points of O'Hara's Knot Energies

Simon Blatt, Philipp Reiter

In this article we study the regularity of stationary points of the knot energies $E^{α}$ introduced by O'Hara in the range $α \in (2, 3)$ . In a first step we prove that $E^{α}$ is $C^{1}$ …

math.FA2011★ 17 cited

Sharp Boundedness and Regularizing effects of the integral Menger curvature for submanifolds

Simon Blatt, Sławomir Kolasiński

In this paper we show that embedded and compact $C^{1}$ manifolds have finite integral Menger curvature if and only if they are locally graphs of certain Sobolev-Slobodeckij spaces.…