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References
Alberti, G. Rank-one properties for derivatives of functions with bounded variations. Proc. Roy. Soc. Edinburgh Sect. A, 123 (1993), 239–274.
Alberti, G.; Csorniey, M.; Preiss, D. Structure of null-sets in the plane and applications European congress of mathematics, Stockholm, June 27–July 2, 2004. A. Laptev (ed.). European Mathematical Society, Zürich 2005.
Ambrosio, G.; Fusco, N.; Pallara, D. Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs, 2000.
Castaing, C.; Valadier, M. Convex analysis and measurable multifunctions. Lecture Notes in Mathematics 580. Springer, Berlin, 1977.
De Giorgi, E.; Ambrosio, L. Un nuovo funzionale del calcolo delle variazioni. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (8) Mat. Appl. 82 (1988), 199–210.
Preiss, D. Geometry of measures in ℝ n : distribution, rectifiability, and densities. Ann. of Math. 125 (1987), 537–643.
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De Lellis, C. (2008). A Note on Alberti's Rank-One Theorem. In: Transport Equations and Multi-D Hyperbolic Conservation Laws. Lecture Notes of the Unione Matematica Italiana, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76781-7_2
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