Relaxation of bulk and interfacial energies

被引:26
作者
Barroso, AC
Bouchitte, G
Buttazzo, G
Fonseca, I
机构
[1] UNIV TOULON & VAR,DEPT MATH,F-83957 LA GARDE,FRANCE
[2] UNIV PISA,DIPARTIMENTO MATEMAT,I-56127 PISA,ITALY
关键词
D O I
10.1007/BF02198453
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we obtain an integral representation for the relaxation in BV(Omega; R(P)) of the functional u --> integral(Omega) f(x. del u(x))dx + integral(Sigma(u)) phi(x, [u](x), v(x))dH(N-1)(x) with respect to the BV weak * convergence.
引用
收藏
页码:107 / 173
页数:67
相关论文
共 44 条
[31]   QUASI-CONVEX INTEGRANDS AND LOWER SEMICONTINUITY IN L1 [J].
FONSECA, I ;
MULLER, S .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (05) :1081-1098
[32]   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
[33]  
FONSECA I, 1995, CALC VAR PARTIAL DIF, V3, P407, DOI 10.1007/BF01187895
[34]   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
[35]  
FONSECA I, IN PRESS LOWER SEMIC
[36]  
FONSECA I, 1995, J DIFF INT EQ, V7, P1619
[37]  
FONSECA L, 1993, BOUNDARY VALUE PROBL
[38]  
Giusti E., 1984, MINIMAL SURFACES FUN
[39]  
Morrey B., 1952, Pacific J. Math., V2, P25, DOI [DOI 10.2140/PJM.1952.2.25, DOI 10.2140/PJM.1952.2.25)]
[40]  
Morrey C.B. Jr., 1966, Multiple Integrals in the Calculus of Variations, V130