On the relaxation of a class of functionals defined on Riemannian distances

被引：0

作者：

Davini, A ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

JOURNAL OF CONVEX ANALYSIS | 2005年 / 12卷 / 01期

关键词：

Riemannian and Finsler metrics; relaxation; Gamma convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the relaxation of a class of functionals defined on distances induced by isotropic Riemannian metrics on an open subset of R-N. We prove that isotropic Riemannian metrics are dense in Finsler ones and we show that the relaxed functionals admit a specific integral representation.

引用

页码：113 / 130

页数：18

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