A geometrical approach to monotone functions in Rn

被引：0
|
作者：
Alberti, G
Ambrosio, L
机构：
[1] Dipartimento Matemat Applicata U Dini, I-56126 Pisa, Italy
[2] Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
来源：
MATHEMATISCHE ZEITSCHRIFT | 1999年 / 230卷 / 02期
关键词：
D O I：
10.1007/PL00004691
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is concerned with the fine properties of monotone functions on R-n. We study the continuity and differentiability properties of these functions, the approximability properties, the structure of the distributional derivatives and of the weak Jacobians. Moreover, we exhibit an example of a monotone function u which is the gradient of a C-1,C-alpha convex function and whose weak Jacobian Ju is supported on a purely unrectifiable set.
引用
收藏
页码：259 / 316
页数：58
相关论文
共 50 条
12345