ON THE STRUCTURE OF SINGULAR SETS OF CONVEX-FUNCTIONS

被引：58

作者：

ALBERTI, G ^{[1
]}

机构：

[1] IST MATEMAT APPL,I-56100 PISA,ITALY

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1994年 / 2卷 / 01期

关键词：

Mathematics subject classification: 26B25 Primary; 26B05; 49Q15; 52A20;

D O I：

10.1007/BF01234313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

When f is a convex function of R(h), and k is an integer with 0 < k < h, then the set SIGMA(k)(f) := {x:dim(partial derivative f(x)) greater-than-or-equal-to kl may be covered by countably many manifolds of dimension h - k and class C2 except an H(h-k) negligible subset.

引用

页码：17 / 27

页数：11

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