Tangent sets in some functional spaces

被引：14

作者：

Bednarczuk, E

Pierre, M

Rouy, E

Sokolowski, J ^{[1
]}

机构：

[1] Univ Nancy, Inst Elie Cartan, Dept Math, Nancy, France

[2] Univ Nancy 1, Inst Elie Cartan, Math Lab, F-54506 Vandoeuvre Nancy, France

[3] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

[4] ENS Cachan Antenne Bretagne, F-35170 Bruz, France

[5] Univ Tours, F-37200 Tours, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 42卷 / 05期

关键词：

tangent cone; second-order tangent sets; shape optimization;

D O I：

10.1016/S0362-546X(99)00134-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The cone of nonnegative functions in L∞(Ω) are considered. The second-order tangent set of this cone is characterized. As an application of the formulae obtained, first- and second-order tangent sets to a set with local constraints on the gradient are studied.

引用

页码：871 / 886

页数：16

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BENTAL A, 1982, MATH PROGRAM STUD, V19, P39, DOI 10.1007/BFb0120982

[4]

BONNANS JF, 1984, NUMER FUNC ANAL OPT, V7, P333