Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings
- Autores: Vodopyanov S.1,2,3
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Peoples’ Friendship University of Russia
- Edição: Volume 59, Nº 5 (2018)
- Páginas: 805-834
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172026
- DOI: https://doi.org/10.1134/S0037446618050075
- ID: 172026
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Resumo
We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p < ∞ and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well-known mappings with 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.
Sobre autores
S. Vodopyanov
Sobolev Institute of Mathematics; Novosibirsk State University; Peoples’ Friendship University of Russia
Autor responsável pela correspondência
Email: vodopis@math.nsc.ru
Rússia, Novosibirsk; Novosibirsk; Moscow