严格 BV 收敛中 0 均质映射的松弛区域

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-03-16 DOI:10.1007/s10231-024-01435-1

Simone Carano

引用次数: 0

摘要

我们计算了有界变化的一般 0 均质映射的松弛笛卡尔面积，与严格的 BV 收敛有关。特别是，我们证明了这类映射的松弛面积是有限的，并提供了一个积分表示公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Relaxed area of 0-homogeneous maps in the strict BV-convergence

查看原文本刊更多论文

Relaxed area of 0-homogeneous maps in the strict BV-convergence

We compute the relaxed Cartesian area for a general 0-homogeneous map of bounded variation, with respect to the strict BV-convergence. In particular, we show that the relaxed area is finite for this class of maps and we provide an integral representation formula.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.