Email this article On the boundary-value problems for quasiconformal functions in the plane
- Authors: Gutlyanskii V.1, Ryazanov V.1, Yefimushkin A.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
- Issue: Vol 214, No 2 (2016)
- Pages: 200-219
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237358
- DOI: https://doi.org/10.1007/s10958-016-2769-2
- ID: 237358
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Abstract
Generalized solvability of the classical boundary-value problems for analytic and quasiconformal functions in arbitrary Jordan domains with boundary data that are measurable with respect to the logarithmic capacity is established. Moreover, it is shown that the spaces of the found solutions have the infinite dimension. Finally, some applications to the boundary-value problems for A-harmonic functions are given.
About the authors
Vladimir Gutlyanskii
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Author for correspondence.
Email: vladimirgut@mail.ru
Ukraine, Donetsk
Vladimir Ryazanov
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Email: vladimirgut@mail.ru
Ukraine, Donetsk
Artem Yefimushkin
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Email: vladimirgut@mail.ru
Ukraine, Donetsk
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