Regularity theory for tangent-point energies: the non-degenerate sub-critical case

DOI10.1515/acv-2013-0020zbMath1322.49060arXiv1208.3605OpenAlexW2964175079MaRDI QIDQ2018361

Simon Blatt, Philipp Reiter

Publication date: 14 April 2015

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3605

zbMATH Keywords

minimizersknot energiesregularity theorytangent-point energies

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10)

Related Items (10)

On some knot energies involving Menger curvature ⋮ Banach gradient flows for various families of knot energies ⋮ Tangent-point energies and ropelength as gamma-limits of discrete tangent-point energies on biarc curves ⋮ Dynamics of embedded curves by doubly-nonlocal reaction–diffusion systems ⋮ Symmetric elastic knots ⋮ Modeling repulsive forces on fibres via knot energies ⋮ Numerical solution of a bending-torsion model for elastic rods ⋮ Mini-workshop: Nonlocal analysis and the geometry of embeddings. Abstracts from the mini-workshop held November 22--28, 2020 (hybrid meeting) ⋮ Modeling repulsive forces on fibres via knot energies ⋮ Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves

This page was built for publication: Regularity theory for tangent-point energies: the non-degenerate sub-critical case