ON THE RELAXATION IN BV(OMEGA R(M)) OF QUASI-CONVEX INTEGRALS

被引：99

作者：

AMBROSIO, L ^{[1
]}

DALMASO, G ^{[1
]}

机构：

[1] SCUOLA INT SUPER STUDI AVANZATI, I-34014 TRIESTE, ITALY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 109卷 / 01期

关键词：

D O I：

10.1016/0022-1236(92)90012-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a quasi-convex function f with linear growth, we find the integral representation in BV(Ω; Rm) of the functional F ̄ arising from the relaxation of F(u) = ∝Ωf(▽u) dx, u ε{lunate} C1(Ω; Rm), in the Lloc1(Ω; Rm) topology. © 1992.

引用

页码：76 / 97

页数：22

共 36 条

[1] SEMICONTINUITY PROBLEMS IN THE CALCULUS OF VARIATIONS
ACERBI, E
FUSCO, N
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1984, 86 (02) : 125 - 145
[2] ALBERTI G, IN PRESS P ROY SOC A
[3] AMBROSIO L, 1991, J MATH PURE APPL, V70, P269
[4] AMBROSIO L, IN PRESS INDIANA U M
[5] VARIATIONAL INTEGRALS ON MAPPINGS OF BOUNDED VARIATION AND THEIR LOWER SEMICONTINUITY
AVILES, P
GIGA, Y
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 115 (03) : 201 - 255
[6] BALL JM, 1984, J FUNCT ANAL, V58, P225, DOI 10.1016/0022-1236(84)90041-7
[7] BALL JM, 1977, ARCH RATION MECH AN, V63, P337, DOI 10.1007/BF00279992
[8] Buttazzo G., 1989, PITMAN RES NOTES MAT
[9] CARRIERO M, 1978, ANN U FERRARA 7, V24, P51
[10] Dacorogna, 1989, APPL MATH SCI, V78

← 1 2 3 4 →