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Lower Bounds for The Volume of the Image of a Ball

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Ukrainian Mathematical Journal Aims and scope

We consider ring Q-homeomorphisms with respect to the p-modulus in the space ℝn for p>n. A lower bound for the volume of the image of a ball under these mappings is obtained. We solve the extreme problems of minimization of functionals of the volume of the image of a ball and the area of the image of a sphere.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    B. A. Klishchuk & R. R. Salimov

Authors
  1. B. A. Klishchuk
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  2. R. R. Salimov
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Correspondence to R. R. Salimov.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 6, pp. 774–785, June, 2019.

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Klishchuk, B.A., Salimov, R.R. Lower Bounds for The Volume of the Image of a Ball. Ukr Math J 71, 883–895 (2019). https://doi.org/10.1007/s11253-019-01686-9

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  • DOI: https://doi.org/10.1007/s11253-019-01686-9

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