PARTIAL REGULARITY OF ALMOST MINIMIZING RECTIFIABLE G CHAINS IN HILBERT SPACE

被引：0

作者：

De Pauw, Thierry ^{[1
,2
]}

Zuest, Roger ^{[3
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, 500 Dongchuang Rd, Shanghai 200062, Peoples R China

[2] NYU Shanghai, NYU ECNU Inst Math Sci, 3663 Zhongshan Rd North, Shanghai 200062, Peoples R China

[3] Univ Bern, Math Inst, Alpeneggstr 22, CH-3012 Bern, Switzerland

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2019年 / 141卷 / 06期

基金：

瑞士国家科学基金会;

关键词：

SURFACES;

D O I：

10.1353/ajm.2019.0044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We adapt to an infinite dimensional ambient space E. R. Reifenberg's epiperimetric inequality and a quantitative version of D. Preiss' second moments computations to establish that the set of regular points of an almost mass minimizing rectifiable G chain in l(2) is dense in its support, whenever the group G of coefficients is so that {parallel to g parallel to : g is an element of G} is discrete.

引用

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页码：1591 / 1705

页数：115

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