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

共 50 条

[1] WEAK LOWER SEMICONTINUITY OF POLYCONVEX INTEGRALS
MALY, J
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1993, 123 : 681 - 691
[2] WEAK LOWER SEMICONTINUITY OF POLYCONVEX INTEGRALS - A BORDERLINE CASE
DALMASO, G
SBORDONE, C
MATHEMATISCHE ZEITSCHRIFT, 1995, 218 (04) : 603 - 609
[3] Weak lower semicontinuity for polyconvex integrals in the limit case
M. Focardi
N. Fusco
C. Leone
P. Marcellini
E. Mascolo
A. Verde
Calculus of Variations and Partial Differential Equations, 2014, 51 : 171 - 193
[4] Weak lower semicontinuity for polyconvex integrals in the limit case
Focardi, M.
Fusco, N.
Leone, C.
Marcellini, P.
Mascolo, E.
Verde, A.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2014, 51 (1-2) : 171 - 193
[5] NEW LOWER SEMICONTINUITY RESULTS FOR POLYCONVEX INTEGRALS
ACERBI, E
DALMASO, G
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1994, 2 (03) : 329 - 372
[6] FURTHER REMARKS ON THE LOWER SEMICONTINUITY OF POLYCONVEX INTEGRALS
CELADA, P
DALMASO, G
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1994, 11 (06): : 661 - 691
[7] ON THE WEAK LOWER SEMICONTINUITY OF ENERGIES WITH POLYCONVEX INTEGRANDS
GANGBO, W
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1994, 73 (05): : 455 - 469
[8] LOWER SEMICONTINUITY FOR POLYCONVEX INTEGRALS WITHOUT COERCIVITY ASSUMPTIONS
Amar, Micol
De Cicco, Virginia
EVOLUTION EQUATIONS AND CONTROL THEORY, 2014, 3 (03): : 363 - 372
[9] EXISTENCE RESULTS FOR A CLASS OF NON COERCIVE POLYCONVEX INTEGRALS
MASCOLO, E
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1991, 5A (01): : 97 - 107
[10] Lower semi-continuity for non-coercive polyconvex integrals in the limit case
De Philippis, G.
Di Marino, S.
Focardi, M.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 146 (02) : 243 - 264

← 1 2 3 4 5 →