ANISOTROPIC SINGULAR PERTURBATIONS - THE VECTORIAL CASE

被引：50

作者：

BARROSO, AC

FONSECA, I

机构：

[1] Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1994年 / 124卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500028778

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the GAMMA(L1(OMEGA))-limit of the sequence J(epsilon)(u) = 1/epsilon E(epsilon)(u), where E(epsilon) is the family of anisotropic perturbations E(epsilon)(u):= integral(OMEGA) W(u(x)) dx + epsilon2 integral(OMEGA) h2(x, del u(x)) dx of the nonconvex functional of vector-valued functions E0(u)= integral(OMEGA) W(u(x)) dx. The proof relies on the blow-up argument introduced by Fonseca and Muller.

引用

页码：527 / 571

页数：45

共 34 条

[1] ON THE RELAXATION IN BV(OMEGA R(M)) OF QUASI-CONVEX INTEGRALS
AMBROSIO, L
DALMASO, G
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 109 (01) : 76 - 97
[2] Attouch H., 1984, VARIATIONAL CONVERGE
[3] BALDO S, 1990, ANN I H POINCARE-AN, V7, P37
[4] SINGULAR PERTURBATIONS OF VARIATIONAL-PROBLEMS ARISING FROM A 2-PHASE TRANSITION MODEL
BOUCHITTE, G
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1990, 21 (03) : 289 - 314
[5] Dacorogna, 1989, APPL MATH SCI, V78
[6] DALMASO G, 1980, MANUSCRIPTA MATH, V30, P387
[7] De Giorgi E., 1975, REND MAT, V8, P277
[8] DEGIORGI E, 1983, LECT NOTES MATH, V979, P121
[9] EVANS LC, 1992, LECTURE NOTES MEASUR
[10] Federer H., 1969, GRUNDLEHREN MATH WIS

← 1 2 3 4 →