Zobrazeno 1 - 10
of 208
pro vyhledávání: '"Vladimir Ryazanov"'
Publikováno v:
Axioms, Vol 11, Iss 4, p 171 (2022)
First, we prove that the BMO condition by John–Nirenberg leads in the natural way to the asymptotic homogeneity at the origin of regular homeomorphic solutions of the degenerate Beltrami equations. Then, on this basis we establish a series of crite
Externí odkaz:
https://doaj.org/article/4b83a63868c642b8811211c0f8a7dc75
Publikováno v:
Journal of Mathematical Sciences. 270:428-448
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::280ac159f285afc88a408a4420afc7c8
https://doi.org/10.1007/s10958-023-06356-7
https://doi.org/10.1007/s10958-023-06356-7
Publikováno v:
Ukrainian Mathematical Bulletin. 19:49-74
The linear Beltrami equation on the Riemann sphere is studied under the assumption that its measurable complex-valued coefficient $\mu(z)$ has a compact support in $\mathbb{C}$ and $\Vert\mu\Vert_{\infty}=1.$ Sufficient conditions for the existence o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e327224494e5857145804687f9fc41de
https://doi.org/10.37069/1810-3200-2022-19-1-4
https://doi.org/10.37069/1810-3200-2022-19-1-4
Publikováno v:
Ukrainian Mathematical Bulletin. 19:327-354
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be829b500a5c653e8ebf05ac6b2d0858
https://doi.org/10.32782/1810-3200-2022-19-3-3
https://doi.org/10.32782/1810-3200-2022-19-3-3
Autor:
Vladimir Ryazanov
Publikováno v:
Filomat. 36:2119-2127
The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk D is due to the dissertation of Luzin. The paper [11] was devoted to the Dirichlet problem with continuous boundary data for quasilinear Poisson
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25e8b7652f028e9e676a463eb1cdc583
https://doi.org/10.2298/fil2206119r
https://doi.org/10.2298/fil2206119r
Publikováno v:
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine. 35:12-26
The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk $\mathbb D$ goes to the famous dissertation of Luzin, see e.g. its reprint \cite{L}. His result was formulated in terms of angular limits (along
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ded743eef12c9c4297b9cc65727d9b1
https://doi.org/10.37069/1683-4720-2021-35-2
https://doi.org/10.37069/1683-4720-2021-35-2
Publikováno v:
Journal of Mathematical Sciences. 259:53-74
The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk 𝔻 is due to the dissertation of Luzin. Later on, the known monograph of Vekua was devoted to boundary-value problems only with Holder continu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16aac5cc12ae455bf3188ac5295bceb1
https://doi.org/10.1007/s10958-021-05604-y
https://doi.org/10.1007/s10958-021-05604-y
Publikováno v:
Journal of Mathematical Sciences. 256:735-752
The study of the Dirichlet problem in the unit disk 𝔻 with arbitrary measurable data for harmonic functions is due to the famous dissertation of Luzin [31]. Later on, the known monograph of Vekua [48] has been devoted to boundary-value problems (o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9972106816815ed44806f50828d1e50c
https://doi.org/10.1007/s10958-021-05457-5
https://doi.org/10.1007/s10958-021-05457-5
Autor:
Serhii Volkov, Vladimir Ryazanov
Publikováno v:
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine. 34:100-110
The present paper is a continuation of our research that was devoted to the theory of the boundary behavior of mappings on Riemann surfaces. Here we develop the theory of the boundary behavior of the mappings in the class FLD (mappings with finite le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d84323bbd48fdbe80ca90e6a87142b5c
https://doi.org/10.37069/1683-4720-2020-34-10
https://doi.org/10.37069/1683-4720-2020-34-10
Autor:
Ihor Petkov, Vladimir Ryazanov
Publikováno v:
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine. 34:85-99
Boundary value problems for the Beltrami equations are due to the famous Riemann dissertation (1851) in the simplest case of analytic functions and to the known works of Hilbert (1904, 1924) and Poincare (1910) for the corresponding Cauchy--Riemann s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eac32f8f6388ff06d553563767606280
https://doi.org/10.37069/1683-4720-2020-34-9
https://doi.org/10.37069/1683-4720-2020-34-9