Weak lower semicontinuity for non coercive polyconvex integrals

被引：8

作者：

Amar, Micol ^{[1
]}

De Cicco, Virginia ^{[1
]}

Marcellini, Paolo ^{[2
]}

Mascolo, Elvira ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00161 Rome, Italy

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2008年 / 1卷 / 02期

关键词：

Vector-valued maps; Jacobian determinants; polyconvex integrals; lower semicontinuity; chain rule;

D O I：

10.1515/ACV.2008.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a lower semicontinuity theorem for a polyconvex functional of integral form, related to maps u : Omega subset of R(n) -> R(m) in W(1,n) (Omega; R(m)) with n >= m >= 2, with respect to the weak W(1,p)-convergence for p > m - 1, without assuming any coercivity condition.

引用

页码：171 / 191

页数：21

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