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

被引：100

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

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