Hölder regularity of three-dimensional minimal cones in ℝⁿ

Tien Duc Luu. "Hölder regularity of three-dimensional minimal cones in ℝⁿ." Annales Polonici Mathematici 110.3 (2014): 227-246. <http://eudml.org/doc/280678>.

@article{TienDucLuu2014,
abstract = {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.},
author = {Tien Duc Luu},
journal = {Annales Polonici Mathematici},
keywords = {Almgren minimal cones; local Hölder regularity; Hausdorff measure},
language = {eng},
number = {3},
pages = {227-246},
title = {Hölder regularity of three-dimensional minimal cones in ℝⁿ},
url = {http://eudml.org/doc/280678},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Tien Duc Luu
TI - Hölder regularity of three-dimensional minimal cones in ℝⁿ
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 3
SP - 227
EP - 246
AB - 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.
LA - eng
KW - Almgren minimal cones; local Hölder regularity; Hausdorff measure
UR - http://eudml.org/doc/280678
ER -