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

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