Some Fine Properties of Currents and Applications to Distributional Jacobians
نویسنده
چکیده
We study fine properties of currents in the framework of geometric measure theory on metric spaces developed by Ambrosio and Kirchheim, and we prove a rectifiability criterion for flat currents of finite mass. We apply these tools to study the structure of the distributional Jacobians of functions in the space BnV, defined by Jerrard and Soner. We define the subspace of special functions of bounded higher variation and we prove a closure theorem. DOI: https://doi.org/10.1017/S030821050000189X Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-21961 Originally published at: De Lellis, C (2002). Some fine properties of currents and applications to distributional Jacobians. Proceedings of the Royal Society of Edinburgh: Section A, 132(4):815-842. DOI: https://doi.org/10.1017/S030821050000189X Max Planck Institut f ur Mathematik in den Naturwissenschaften Leipzig Some ne properties of currents and applications to distributional Jacobians
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