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math.DG2021
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…
math.AP2021★ 2 cited
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…