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On convergence theorems for homeomorphisms of Sobolev class

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Ukrainian Mathematical Journal Aims and scope

Abstract

We prove a new convergence theorem for homeomorphisms of Sobolev class with a locally summable upper bound of deformations. This theorem allows us to generalize the known Strebel and Bers-Boyarskii convergence theorems.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    V. I. Ryazanov

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  1. V. I. Ryazanov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 249–259, February, 1995.

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Ryazanov, V.I. On convergence theorems for homeomorphisms of Sobolev class. Ukr Math J 47, 293–305 (1995). https://doi.org/10.1007/BF01056720

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  • DOI: https://doi.org/10.1007/BF01056720

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