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On equicontinuity of ring \(Q\)-mappings

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Abstract

We give necessary and sufficient conditions of equicontinuity of so-called ring \(Q\)-mappings that will have significant applications to the general Beltrami equation, a complex form of one of the main equations of the mathematical physics in the plane, as well as to its many-dimensional analogs and to the Orlicz–Sobolev mappings in space.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, 74 Roze Luxemburg Str., Donetsk, 83114, Ukraine

    V. Ryazanov & E. Sevost’yanov

  2. Technion, Haifa, Israel

    U. Srebro

  3. Holon Institute of Technology, Holon, Israel

    E. Yakubov

Authors
  1. V. Ryazanov
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  2. E. Sevost’yanov
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  3. U. Srebro
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  4. E. Yakubov
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Correspondence to V. Ryazanov.

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Ryazanov, V., Sevost’yanov, E., Srebro, U. et al. On equicontinuity of ring \(Q\)-mappings. Anal.Math.Phys. 4, 145–156 (2014). https://doi.org/10.1007/s13324-014-0075-z

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  • DOI: https://doi.org/10.1007/s13324-014-0075-z

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