[图书][B] The Beltrami equation: a geometric approach

V Gutlyanskii, V Ryazanov, U Srebro, E Yakubov - 2012 - books.google.com
This book is devoted to the Beltrami equations that play a significant role in Geometry,
Analysis and Physics and, in particular, in the study of quasiconformal mappings and their …

On quasiconformal maps and semilinear equations in the plane

V Gutlyanskiĭ, O Nesmelova, V Ryazanov - Journal of Mathematical …, 2018 - Springer
Assume that Ω is a domain in the complex plane ℂ and A (z) is a symmetric 2× 2 matrix
function with measurable entries, det A= 1; and such that 1/K| ξ| 2≤< A (z) ξ, ξ>≤ K| ξ| 2, ξ∈ …

On compact classes of Beltrami solutions and Dirichlet problem

O Dovhopiatyi, E Sevost'yanov - Complex Variables and Elliptic …, 2023 - Taylor & Francis
This article is devoted to the study of the problem of compactness of solutions of the
differential Beltrami equation with degeneration. We study the case when the complex …

Generalized MA Lavrentiev's inequality

AK Bakhtin, IV Denega - Journal of Mathematical Sciences, 2022 - Springer
The result of MA Lavrentiev on the product of conformal radii of two non-overlapping simply
connected domains has been generalized and strengthened. A method that allowed new …

On the compactness of classes of the solutions of the Dirichlet problem

OP Dovhopiatyi, EA Sevost'yanov - Journal of Mathematical Sciences, 2021 - Springer
Some theorems concerning the compact classes of homeomorphisms with hydrodynamic
normalization, which are solutions of the Beltrami equation and the characteristics of which …

Параметрический метод нахождения акцессорных параметров в обобщенных интегралах Кристоффеля-Шварца

НН Накипов, СР Насыров - Ученые записки Казанского …, 2016 - cyberleninka.ru
Предложен метод нахождения акцессорных параметров в обобщенном интеграле
Кристоффеля Шварца, дающем конформное отображение полуплоскости на …

[PDF][PDF] Certain subclasses of meromorphically -starlike functions associated with the -derivative operators

HM Srivastava, M Tahir, B Khan, M Darus… - Ukrains' kyi …, 2021 - umj.imath.kiev.ua
CERTAIN SUBCLASSES OF MEROMORPHICALLY q-STARLIKE FUNCTIONS
ASSOCIATED WITH THE q-DERIVATIVE OPERATORS* ДЕЯКI ПIДКЛАСИ Page 1 DOI …

On quasiconformal maps and semi-linear equations in the plane

VY Gutlyanskii, OV Nesmelova… - Український …, 2017 - dspace.nbuv.gov.ua
Assume that Ω is a domain in the complex plane C and A (z) is symmetric 2× 2 matrix
function with measurable entries, det A= 1 and such that 1/K| ξ| ²≤〈 A (z) ξ, ξ〉≤ K| ξ| ², ξ∊ …

Uniformization of simply-connected ramified coverings of the sphere by rational functions

S Nasyrov - Lobachevskii Journal of Mathematics, 2018 - Springer
Uniformization of Simply-Connected Ramified Coverings of the Sphere by Rational Functions
Page 1 ISSN 1995-0802, Lobachevskii Journal of Mathematics, 2018, Vol. 39, No. 2, pp …

The Grunsky operator and quasiconformality: old and new

SL Krushkal - arXiv preprint arXiv:2412.08018, 2024 - arxiv.org
The Grunsky operator arises from univalence and plays a crucial role in geometric function
theory. This operator also implies quasiconformal extendibility and has an intrinsic …