FURTHER REMARKS ON THE LOWER SEMICONTINUITY OF POLYCONVEX INTEGRALS

被引：35
作者：
CELADA, P
DALMASO, G
机构：
[1] Università degli Studi di Trieste-SISSA, Trieste
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1994年 / 11卷 / 06期
关键词：
POLYCONVEX FUNCTIONALS; LOWER SEMICONTINUITY;
D O I：
10.1016/S0294-1449(16)30173-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study some lower semicontinuity properties of polyconvex integrals of the form integral(OMEGA)f(M(delu)) dx, where OMEGA subset-of R(n), u: OMEGA --> R(m), and M(delu) denotes the family of the determinants of all minors of the gradient matrix delu. In particular, we study the lower semicontinuity along sequences converging strongly in L1(OMEGA, R(m)) when the integrand depends only on the minors of delu up to a given order, and the lower semicontinuity along sequences converging strongly in L1(OMEGA, R(n)) and bounded in W1,n-1 (OMEGA, R(n)) in the special case m = n.
引用
收藏
页码：661 / 691
页数：31
相关论文
共 18 条
[1]  
ACERBI E, IN PRESS CALC VAR
[2]  
[Anonymous], 1966, PUBLICATIONS I MATH
[3]  
BALL JM, 1986, J FUNCT ANAL, V66, P439
[4]  
BALL JM, 1984, J FUNCT ANAL, V58, P225, DOI 10.1016/0022-1236(84)90041-7
[5]  
Buttazzo G., 1989, PITMAN RES NOTES MAT, V207
[6]  
Dacorogna, 1989, APPL MATH SCI, V78
[7]  
DACOROGNA B, 1990, CR ACAD SCI I-MATH, V311, P393
[8]  
DALMASO G, IN PRESS MATH Z
[9]  
Federer H., 1969, GRUNDLEHREN MATH WIS
[10]   THE DIRICHLET INTEGRAL FOR MAPPINGS BETWEEN MANIFOLDS - CARTESIAN CURRENTS AND HOMOLOGY [J].
GIAQUINTA, M ;
MODICA, G ;
SOUCEK, J .
MATHEMATISCHE ANNALEN, 1992, 294 (02) :325-386
12