A note on the Hodge theory for functionals with linear growth

被引：4

作者：

Baldo, S ^{[1
]}

Orlandi, G ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Matemat, I-38050 Povo, TN, Italy

来源：

MANUSCRIPTA MATHEMATICA | 1998年 / 97卷 / 04期

关键词：

D O I：

10.1007/s002290050114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Hedge decomposition of L-1- (and measure-) differential forms over a compact manifold without boundary, giving positive results and counterexamples. The theory is then applied to the relaxation and minimization, in cohomology classes, of convex functionals with linear growth. This corresponds to a non-linear version of the Hedge theory, in the spirit of L. M. Sibner and R. J. Sibner [SS].

引用

页码：453 / 467

页数：15

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