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References
Yu. G. Reshetnyak, Spatial Mappings with Bounded Distorsion [in Russian], Nauka, Novosibirsk (1982).
S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Nauka, Moscow (1988).
G. de Rham, Varietés Différentiables, [Russian translation], Izdat. Inostr. Lit., Moscow (1956).
V. M. Gol'dshteîn V. I. Kuz'minov, and I. A. Shvedov, “Differential forms on Lipschitz manifolds,” Sibirsk. Mat. Zh.,23, No. 2, 16–30 (1982).
V. I. Smirnov, Course of Higher Mathematics [in Russian], V.3, Part 1, Nauka, Moscow (1974).
V. I. Burenkov, “Sobolev's integral representation and Taylor's formula,” Trudy Mat. Inst. Steklov.,131, 33–38 (1974).
Yu. G. Reshetnyak, “Certain integral representations of differentiable functions,” Sibirsk. Mat. Zh.,12, No. 2, 420–432 (1971).
V. M. Gol'dshteîn and Yu. G. Reshetnyak, Introduction to the Theory of Functions with Generalized Derivatives and Quasiconformal Mappings [in Russian], Nauka, Moscow (1983).
H. Whitney, Geometric Integration Theory [Russian translation], Izdat, Inostr. Lit., Moscow (1960).
Yu. G. Reshetnyak, Stability Theorems in Geometry and Analysis [in Russian], Nauka, Novosibirsk (1982).
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Volgograd. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 5, pp. 53–61, September–October, 1992.
Translated by S. S. Kutateladze
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Zhuravlev, I.V. On determining a mapping from its normalized Jacobian. Sib Math J 33, 790–797 (1992). https://doi.org/10.1007/BF00970987
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DOI: https://doi.org/10.1007/BF00970987