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

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

Abstract

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.

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严格 BV 收敛中 0 均质映射的松弛区域

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。

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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

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