The Euler-Lagrange equation and heat flow for the Möbius energy

By Zheng-Xu He. 2000

64 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a5303409ac6f36736f558237fcf15bb74e7f744d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Armin Schikorra
2. Pawel Strzelecki
3. H. von der Mosel
4. Philipp Reiter
5. Simon Blatt
6. Michael Struwe
7. Changyou Wang
8. Katarzyna Mazowiecka

In Geometry and Topology

1. Pawel Strzelecki
2. Armin Schikorra
3. H. von der Mosel
4. Philipp Reiter
5. Simon Blatt

Citations in the corpus

• BOUNDEDNESS AND REGULARIZING EFFECTS OF O'HARA'S KNOT ENERGIES (2012, background): “[He00] Zheng-Xu He.”
• On rectifiable curves with Lp-bounds on global curvature: self-avoidance, regularity, and minimizing knots (2007, background): “1) for p = 2 relies heavily on the invariance of this particular potential under M̈obiustransformations inR3 [16], [27], a property which is not shared by theUp-energy.”
• Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth (2012, methodology): “Together with a bootstrapping argument due to He [He00], one then obtains that local minimizers of the Möbius energy are smooth, also see [Rt10].”