Homogenization of Functionals with Linear Growth in the Context of -quasiconvexity

被引：0

作者：

Matias, Jose ^{[1
]}

Morandotti, Marco ^{[2
]}

Santos, Pedro M. ^{[1
]}

机构：

[1] Inst Super Tecn, Dept Matemat, CAMGSD, P-1049001 Lisbon, Portugal

[2] SISSA, I-34136 Trieste, Italy

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2015年 / 72卷 / 03期

基金：

美国安德鲁·梅隆基金会;

关键词：

A-quasiconvexity; Homogenization; Representation of integral functionals; Concentration effects; LOWER SEMICONTINUITY; A-QUASICONVEXITY; RELAXATION; CONVERGENCE; INTEGRALS;

D O I：

10.1007/s00245-015-9289-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with the homogenization of functionals with linear growth in the context of -quasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between homogenization and the -free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.

引用

页码：523 / 547

页数：25

共 30 条

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