Repulsive knot energies and pseudodifferential calculus for O’Hara’s knot energy family E (α) , α ∈ [2, 3)
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Publication:2888905
DOI10.1002/mana.201000090zbMath1248.42009OpenAlexW2118867667MaRDI QIDQ2888905
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Publication date: 4 June 2012
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201000090
Curves in Euclidean and related spaces (53A04) Multipliers in one variable harmonic analysis (42A45)
Related Items (19)
On the analyticity of critical points of the Möbius energy ⋮ On the analyticity of critical points of the generalized integral Menger curvature in the Hilbert case ⋮ Towards a regularity theory for integral Menger curvature ⋮ Discrete Möbius energy ⋮ Tangent-point repulsive potentials for a class of non-smooth \(m\)-dimensional sets in \(\mathbb R^n\). I: smoothing and self-avoidance effects ⋮ Residues of manifolds ⋮ Self‐repulsiveness of energies for closed submanifolds ⋮ Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension ⋮ Stationary points of O'Hara's knot energies ⋮ Variational formulae and estimates of O’Hara’s knot energies ⋮ Möbius invariant metrics on the space of knots ⋮ The gradient flow of O'Hara's knot energies ⋮ Numerical solution of a bending-torsion model for elastic rods ⋮ Menger curvature as a knot energy ⋮ The elastic trefoil is the doubly covered circle ⋮ Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth ⋮ Decomposition of generalized O'Hara's energies ⋮ Integro-Differential Harmonic Maps into Spheres ⋮ On the regularity of critical points for O’Hara’s knot energies: From smoothness to analyticity
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