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arXiv · 2306.09997

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

Simone Carano
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Abstract

We compute the relaxed Cartesian area for 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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Simone Carano. 2023-06-16. Relaxed area of $0$-homogeneous maps in the strict $BV$-convergence. https://arxiv.org/abs/2306.09997

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