Some results on surface measures in calculus of variations.

被引：28

作者：

Bellettini, G

Paolini, M

Venturini, S

机构：

[1] UNIV PISA, IST MATEMAT APPL U DINI, I-56100 PISA, ITALY

[2] UNIV MILAN, DIPARTIMENTO MATEMAT, I-20133 MILAN, ITALY

[3] UNIV BOLOGNA, DIPARTIMENTO MATEMAT, I-40127 BOLOGNA, ITALY

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1996年 / 170卷

关键词：

D O I：

10.1007/BF01758994

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.

引用

页码：329 / 357

页数：29

共 38 条

[1]

Abraham R., 1983, MANIFOLDS TENSOR ANA

[2] A NOTION OF TOTAL VARIATION DEPENDING ON A METRIC WITH DISCONTINUOUS COEFFICIENTS [J].