RELAXATION OF MULTIPLE INTEGRALS IN THE SPACE BV(OMEGA,RP)

被引：19

作者：

FONSECA, I

RYBKA, P

机构：

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

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1992年 / 121卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500027943

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A characterisation of the surface energy density for the relaxation in BV(OMEGA; R(P)) of the functional u --> integral-OMEGA f(x, u(x), del u (x)) dx is obtained. A lemma of De Giorgi is used to modify a sequence near the boundary without increasing its total energy.

引用

页码：321 / 348

页数：28

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AMBROSIO L, IN PRESS INTEGRAL RE

[2]

AMBROSIO L, IN PRESS FUNCTIONALS

[3]

AVILES P, IN PRESS VARIATIONAL

[4]

BALDO S, 1990, ANN I H POINCARE-AN, V7, P67