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Foundations of quasiconformal analysis of a two-index scale of spatial mappings
- Authors: Vodopyanov S.K.1,2
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 484, No 2 (2019)
- Pages: 142-146
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/11715
- DOI: https://doi.org/10.31857/S0869-56524842142-146
- ID: 11715
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Abstract
We define a scale of mappings that depends on two real parameters p and q, and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well known mappingswith bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.
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About the authors
S. K. Vodopyanov
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: vodopis@math.nsc.ru
Russian Federation, Novosibirsk
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