Abstract This article is mainly devoted to studying a novel geometric & nonlinear capacity induced by the affine bounded variation in the Euclidean space R n which is truly distinct from the classical BV-capacity in dimension n > 1 .

中文翻译：

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仿射有界变化的新能力

摘要 本文主要致力于研究由欧几里德空间 R n 中的仿射有界变化引起的一种新的几何和非线性容量，该容量与维度 n > 1 的经典 BV 容量真正不同。