Relaxation of certain integral functionals depending on strain and chemical composition

被引：6

作者：

Ribeiro, Ana Margarida ^{[1
,2
]}

Zappale, Elvira ^{[3
]}

机构：

[1] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-2829516 Quinta De Torre, Caparica, Portugal

[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, CMA, P-2829516 Quinta De Torre, Caparica, Portugal

[3] Univ Salerno, DIIn, I-84084 Fisciano, SA, Italy

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2013年 / 34卷 / 04期

关键词：

Relaxation; Functions of bounded variation; Quasiconvexity; IMAGE DECOMPOSITION; QUASICONVEXITY;

D O I：

10.1007/s11401-013-0784-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors provide a relaxation result in BV x L (q) , 1 a parts per thousand currency sign q < + a as the first step towards the analysis of thermochemical equilibria.

引用

页码：491 / 514

页数：24

共 18 条

[11] Higher-order quasiconvexity reduces to quasiconvexity [J].

Dal Maso, G ;

Fonseca, I ;

Leoni, G ;

Morini, M .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 171 (01) :55-81

[12]

Ekeland I., 1976, STUDIES MATH ITS APP, VVolume 1

[13] RELAXATION OF QUASI-CONVEX FUNCTIONALS IN BV (OMEGA, R(P)) FOR INTEGRANDS F(X, U, DEL U) [J].

FONSECA, I ;

MULLER, S .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 123 (01) :1-49

[14] ENERGY FUNCTIONALS DEPENDING ON ELASTIC STRAIN AND CHEMICAL-COMPOSITION [J].

FONSECA, I ;

KINDERLEHRER, D ;

PEDREGAL, P .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1994, 2 (03) :283-313

[15] RELAXATION OF MULTIPLE INTEGRALS IN THE SPACE BV(OMEGA,RP) [J].

FONSECA, I ;

RYBKA, P .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1992, 121 :321-348

[16]

Fonseca I., 1993, MASSON RES NOTES APP, V29, P113

[17]

FONSECA I., 2007, Springer Monographs in Mathematics

[18]

Zappale E, 2010, B SOC PORT MAT, P47

← 1 2 →