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On the boundary behavior of weak (p; q)-quasiconformal mappings

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Let Ω and \( \tilde{\Omega} \) be domains in the Euclidean space ℝn. We study the boundary behavior of weak (p, q)-quasiconformal mappings φ : Ω → \( \tilde{\Omega} \), n – 1 < q ≤ p < n. The suggested method is based on the capacitary distortion properties of the weak (p, q)-quasiconformal mappings.

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Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Vladimir Gol’dshtein

  2. Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine

    Evgeny Sevost’yanov

  3. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slov’yans’k, Ukraine

    Evgeny Sevost’yanov

  4. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Alexander Ukhlov

Authors
  1. Vladimir Gol’dshtein
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  2. Evgeny Sevost’yanov
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  3. Alexander Ukhlov
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Correspondence to Vladimir Gol’dshtein.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 19, No. 4, pp. 478–488, October–December, 2022.

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Gol’dshtein, V., Sevost’yanov, E. & Ukhlov, A. On the boundary behavior of weak (p; q)-quasiconformal mappings. J Math Sci 270, 420–427 (2023). https://doi.org/10.1007/s10958-023-06355-8

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