INTEGRAL-REPRESENTATION OF NONCONVEX FUNCTIONALS DEFINED ON MEASURES

被引：21

作者：

BOUCHITTE, G ^{[1
]}

BUTTAZZO, G ^{[1
]}

机构：

[1] UNIV FERRARA,DIPARTIMENTO MATEMAT,I-44100 FERRARA,ITALY

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1992年 / 9卷 / 01期

关键词：

D O I：

10.1016/S0294-1449(16)30247-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every functional which is defined on the space M (OMEGA; R(n)) of all R(n) valued measures with bounded variation on OMEGA, and which is local and sequentially weakly* lower semicontinuous, can be represented in a suitable integral form.

引用

页码：101 / 117

页数：17

共 17 条

[1] WEAK LOWER SEMICONTINUOUS ENVELOPE OF FUNCTIONALS DEFINED ON A SPACE OF MEASURES [J].

AMBROSIO, L ;

BUTTAZZO, G .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 150 :311-339

[2] INTEGRAL-REPRESENTATION OF CONVEX FUNCTIONALS ON A SPACE OF MEASURES [J].

BOUCHITTE, G ;

VALADIER, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 80 (02) :398-420

[3] NEW LOWER SEMICONTINUITY RESULTS FOR NONCONVEX FUNCTIONALS DEFINED ON MEASURES [J].

BOUCHITTE, G ;

BUTTAZZO, G .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 15 (07) :679-692

[4]

BOUCHITTE G, 1989, CONTRIBUTION HONNEUR, P123

[5]

Buttazzo G., 1983, REND MAT, V3, P491

[6]

Buttazzo G., 1989, PITMAN RES NOTES MAT, V207

[7]

De Giorgi E., 1987, ATTI ACCAD NAZ LIN, V81, P7

[8] CONVEX-FUNCTIONS OF A MEASURE AND APPLICATIONS [J].

DEMENGEL, F ;

TEMAM, R .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1984, 33 (05) :673-709

[9]

Dunford N., 1957, LINEAR OPERATORS

[10] SUBLINEAR FUNCTIONS OF MEASURES + VARIATIONAL INTEGRALS [J].

GOFFMAN, C ;

SERRIN, J .

DUKE MATHEMATICAL JOURNAL, 1964, 31 (01) :159-&

← 1 2 →