Literature Cited
Yu. G. Reshetnyak, Bounds on the Modulus of Continuity for Certain Mappings, Sibirsk. Matem. Zh.,2, No.5, 1106–1114 (1966).
Yu. G. Reshetnyak, Spatial Mappings with Bounded Excursions, Sibirsk. Matem. Zh.,8, No.3, 629–658 (1967).
Yu. G. Reshetnyak, Liouville's Theorem with Minimal Assumptions as to Regularity, Sibirsk. Matem. Zh.,8, No.4, 835–840 (1967).
Yu. G. Reshetnyak, On Stability of Conformal Mappings in Multidimensional Spaces, Sibirsk. Matem. Zh.,8, No.1, 111–134 (1967).
Yu. G. Reshetnyak, On Stability in Liouville's Theorem on Conformal Mappings of Spaces, Dokl. Akad. Nauk SSSR,152, No.2, 286–287 (1963).
S. L. Sobolev, Certain Applications of Functional Analysis to Mathematical Physics [in Russian], Izdvo Len. Gos. In-ta, Leningrad (1950).
Yu. G. Reshetnyak, Certain Geometric Properties of Functions and Mappings with Generalized Derivatives, Sibirsk. Matem. Zh.,7, No.4, 886–919 (1966).
G. de Rham, Differentiable Varieties [Russian translation], IL, Moscow (1956).
Yu. E. Borovskii, Completely Integrable Pfaff Systems, Izv. Vyssh. Uch. Zav., Matem.,2, No.2, 28–40 (1959).
I. M. Gel'fand and G. E. Shilov, Generalized Functions and Actions on Them [in Russian], Fizmatgiz, Moscow (1959).
A. D. Aleksandrov, Additive Set Functions in Abstract Spaces [in English], Matem. Sb.,9, 563–628 (1941).
Yu. G. Reshetnyak, Mappings with Bounded Excursions as Extremals of Dirichlet-Type Integrals, Sibirsk. Matem. Zh.,9, No.3, 652–666 (1968).
Yu. G. Reshetnyak, General Theorems on Semicontinuity and on Convergence with Functionals, Sibirsk. Matem. Zh.,8, No.5, 1051–1069 (1967).
P. P. Belinskii, On Continuity of Spatial Quasiconformal Mappings and on Liouville's Theorem, Dokl. Akad. Nauk SSSR,147, No.5, 1003–1004 (1962).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 3, pp. 667–684, May–June, 1968.
Rights and permissions
About this article
Cite this article
Reshetnyak, Y.G. Stability theorems for mappings with bounded excersions. Sib Math J 9, 499–512 (1968). https://doi.org/10.1007/BF01040914
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01040914