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Literature Cited
Yu. G. Reshetnyak, Estimates of the Continuity Modulus for Various Mappings, Sibirsk. Matem. Zh.,8, No. 5, 1106–1114 (1966).
Yu. G. Reshetnyak, Space Mappings with Bounded Deformation, Sibirsk. Matem. Zh.,8, No. 3, 629–658 (1967).
J. Serrin, Local Behavior of Solutions of Quasilinear Equations, Acta Math.,111, No. 3-4, 247–302 (1967).
Yu. G. Reshetnyak, Various Geometrical Properties of Functions and of Mappings with Generalized Derivatives, Sibirsk. Matem. Zh.,7, No. 5, 886–919 (1966).
V. I. Kasimirov, On the Semicontinuity of Integrals of Variational Calculus, Uspekhi Matem. Nauk,11, No.3, 125–129 (1956).
S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics [in Russian], Izd-vo LGU (1950).
F. W. Gehring, The Caratheodory Convergence Theorem for Quasiconformal Mappings in Space, Ann. Acad. Sci. Fenn., Ser. A., Mathem.,336, No.11, 1–21 (1963).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol.9, No.3, pp.652–666, May–June, 1968.
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Reshetnyak, Y.G. Mappings with bounded deformation as extremals of Dirichlet type integrals. Sib Math J 9, 487–498 (1968). https://doi.org/10.1007/BF01040913
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DOI: https://doi.org/10.1007/BF01040913