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Regularity theory for the Möbius energy

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Publication:609063
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DOI10.3934/cpaa.2010.9.1463zbMath1204.57007OpenAlexW2032691709MaRDI QIDQ609063

Sumit K. Garg

Publication date: 30 November 2010

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.1463


zbMATH Keywords

regularityknot energyMöbius energybilinear Fourier multiplier


Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Multipliers in one variable harmonic analysis (42A45) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)


Related Items (9)

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 ⋮ Stationary points of O'Hara's knot energies ⋮ 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




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