Results 81 to 90 of about 5,713 (169)

Semilinear equations in a plane and quasiconformal mappings

Доповiдi Нацiональної академiї наук України
We consider generalizations of the Bieberbach equation with nonlinear right parts, which makes it possible to study many problems of mathematical physics in inhomogeneous and anisotropic media with smooth characteristics.
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Quasiconformal mappings of $Y$-pieces

Revista Matemática Iberoamericana, 2002
In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.
openaire   +4 more sources

On blow-up solutions and dead zones in semilinear equations

Доповiдi Нацiональної академiї наук України
Presented by Corresponding Member of the NAS of Ukraine V.Ya. Gutlyanskii We study semilinear elliptic equations of the form div(A(z)∇u)=f(u) in Ω⊂C, where A(z) stands for a sym metric 2×2 matrix function with measurable entries, detA=1, and such that 1/
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Lipschitz spaces and harmonic mappings

, 2009
In \cite{kamz} the author proved that every quasiconformal harmonic mapping between two Jordan domains with $C^{1,\alpha ...
Kalaj, David
core   +1 more source

Quasiconformal Extensions of Harmonic Mappings

The Journal of Geometric Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Semilinear equations in the plane with measurable data

Доповiдi Нацiональної академiї наук України
We study semilinear partial differential equations in the plane, the linear part of which is written in a divergence form. The main result is given as a factorization theorem.
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Extremal Problems for Quasiconformal Mappings

Journal of Mathematical Analysis and Applications, 2000
Let \(X\) and \(Y\) be two hyperbolic Riemann surfaces covered by the unit disc \(\Delta=\{z;|z|
openaire   +2 more sources

Identification of the Coordinates of Impulse Pollution Sources in Anisotropic Environments using Numerical Quasiconformal Mapping Methods

Journal of Optimization, Differential Equations and Their Applications
A combined approach to identifying the coordinates of point impulse sources, using observation data at certain time intervals at characteristic points, has been transferred to the case of anisotropy.
Andrii Y. Bomba, Mykhailo V. Boichura, Nataliia V. Ivanchuk   +2 more
doaj   +1 more source

Hölder continuity of harmonic quasiconformal mappings

Journal of Inequalities and Applications, 2011
We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder continuity of the map itself.
Manojlović Vesna, Vuorinen Matti, Arsenović Miloš   +2 more
doaj  

Pekka Koskela. [PDF]

Complex Analysis Synerg, 2021
Martin G, Onninen J.
europepmc   +1 more source