Accepted Paper
Inserted: 16 jun 2023
Last Updated: 20 feb 2024
Journal: Annali di Matematica Pura ed Applicata
Pages: 16
Year: 2023
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.
Keywords: relaxation, Plateau problem, area functional, strict convergence, total variation of the Jacobian, tangential variation
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