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

DOI10.1142/S0219199720500455zbMath1490.57006arXiv1904.13129OpenAlexW3103522588MaRDI QIDQ5016189

Nicole Vorderobermeier

Publication date: 13 December 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13129

zbMATH Keywords

analyticityknot energymethod of majorantsfractional Leibniz ruleO'Hara's knot energies

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Analyticity in context of PDEs (35A20) Knot theory (57K10)

Related Items (2)

On the analyticity of critical points of the generalized integral Menger curvature in the Hilbert case ⋮ Symmetric elastic knots

Cites Work

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• BOUNDEDNESS AND REGULARIZING EFFECTS OF O'HARA'S KNOT ENERGIES
• Global curvature, thickness, and the ideal shapes of knots
• Diffeomorphisms of the 2-Sphere

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