Concentrated, nearly monotonic, epiperimetric measures in euclidean space

被引：0

作者：

De Pauw, Thierry ^{[1
]}

机构：

[1] Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2007年 / 77卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize Holder continuously differentiable m dimensional submanifolds of Euclidean space among m rectifiable sets S in terms of growth conditions on the m density ratios of the Hausdorff measure H-m L S.

引用

页码：77 / 134

页数：58

共 23 条

[1] FIRST VARIATION OF A VARIFOLD
ALLARD, WK
[J]. ANNALS OF MATHEMATICS, 1972, 95 (03) : 417 - &
[2] ALMGREN F, 1986, P SYMP PURE MATH, V44, P29
[3] ALMGREN F, 1976, MEMOIRS AMS, V165
[4] REGULARITY THEORY FOR ALMOST MINIMAL CURRENTS
BOMBIERI, E
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1982, 78 (02) : 99 - 130
[5] David G, 2001, COMMUN PUR APPL MATH, V54, P385, DOI 10.1002/1097-0312(200104)54:4<385::AID-CPA1>3.0.CO
[6] 2-M
[7] David G., 2000, MEMOIRS AM MATH SOC, V144
[8] DAVID G, UNPUB GENERALIZATION
[9] De Pauw T., 2002, J GEOM ANAL, V12, P29
[10] DEPAUW T, UNPUB APPROXIMATING

← 1 2 3 →