Hölder regularity of three-dimensional minimal cones in ℝⁿ

• Autorzy: Tien Duc Luu
• Języki publikacji: EN

Abstrakty

EN

We show the local Hölder regularity of Almgren minimal cones of dimension 3 in ℝⁿ away from their centers. The proof is almost elementary but we use the generalized theorem of Reifenberg. In the proof, we give a classification of points away from the center of a minimal cone of dimension 3 in ℝⁿ, into types ℙ, 𝕐 and 𝕋. We then treat each case separately and give a local Hölder parameterization of the cone.

Kategorie tematyczne

• 49Q05: Minimal surfaces
• 49Q15: Geometric measure and integration theory, integral and normal currents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 3
• Strony: 227-246

Daty

wydano

2014

Twórcy

autor

Tien Duc Luu

• Département de Mathématiques, Bât. 425, Université Paris-Sud XI, 91405 Orsay Cedex, France

Identyfikatory

DOI

10.4064/ap110-3-2