Energies with respect to a measure and applications to low dimensional structures

被引：86

作者：

Bouchitte, G

Buttazzo, G

Seppecher, P

机构：

[1] UNIV TOULON & VAR,DEPT MATH,F-83957 LA GARDE,FRANCE

[2] UNIV PISA,DIPARTIMENTO MATEMAT,I-56127 PISA,ITALY

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1997年 / 5卷 / 01期

关键词：

D O I：

10.1007/s005260050058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider functionals of the form F(u) = integral f (x,Du)d mu (u is an element of D(R(n))) where mu is a finite Borel measure on R(n), and we characterize their relaxation (F) over bar with respect to the weak convergence in a suitable Sobolev space W-mu(1,p). Applications to low dimensional structures and junctions are given.

引用

页码：37 / 54

页数：18

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