Literature Cited
Yu. G. Reshetnyak, “A sufficient continuity criterion for a Hölder mapping,” Dokl. Akad. Nauk SSSR,130, No. 3, 507–509 (1960).
Yu. G. Reshetnyak, “Estimates of continuity modulus for certain mappings,” Sib. Mat. Zh.,7, No. 5, 1106–1114 (1966).
Yu. G. Reshetnyak, “Some geometric properties of functions and mappings with generalized derivatives,” Sib. Mat. Zh.,7, No. 4, 886–919 (1966).
C. B. Morrey, “Multiple integral problems in the calculus of variation and related topics,” Univ. of California Publ., Vol. 1, 1–130 (1943).
Yu. G. Reshetnyak, Space Mappings with Limited Distortion [in Russian], Nauka, Novosibirsk (1982).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 5, pp. 135–140, September–October, 1984.
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Reshetnyak, Y.G. An integral inequality for differentiable functions of several variables. Sib Math J 25, 790–794 (1984). https://doi.org/10.1007/BF00968694
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DOI: https://doi.org/10.1007/BF00968694