4 citations · 6 across the 3 of their papers we have counts for
4 papers
Stability of knot equivalence at low regularity, and symmetric critical knots for the Möbius energy
Simon Blatt, Alexandra Gilsbach, Philipp Reiter +1
We present sufficient criteria for the equivalence of tame knots at low regularity. To this end, we introduce a localized version of Gromov's distortion for any closed path-connect…
Symmetric elastic knots
Alexandra Gilsbach, Philipp Reiter, Heiko von der Mosel
Minimizing the bending energy within knot classes leads to the concept of elastic knots which has been initiated in [von der Mosel, Asymptot. Anal. 1998]. Motivated by numerical ex…
Linear stability estimates for Serrin's problem via a modified implicit function theorem
Alexandra Gilsbach, Michiaki Onodera
We examine Serrin's classical overdetermined problem under a perturbation of the Neumann boundary condition. The solution of the problem for a constant Neumann boundary condition e…
Symmetric critical knots for O'Hara's energies
Alexandra Gilsbach, Heiko von der Mosel
We prove the existence of symmetric critical torus knots for O'Hara's knot energy family , using Palais' classic principle of symmetric criticality. It turns out…