| Title | Some fine properties of currents and applications to distributional Jacobians. |
| Publication Type | Journal Article |
| Year of Publication | 2002 |
| Authors | De Lellis C. |
| Journal | Proceedings of the Royal Society of Edinburgh: Section A |
| Volume | 132 |
| Pagination | 815–842 |
| Publisher | Royal Society of Edinburgh |
| Type of Article | geometric measure theory |
| ISSN | 0308-2105 |
| Abstract | 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. |
| Notes | Proc. Roy. Soc. Edinburgh Sect. A 132 (2002), no. 4, 815–842. |
| URL | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1202184 |
| DOI | 10.1017/S030821050000189X |
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