Results 61 to 70 of about 2,961 (99)
Some of the next articles are maybe not open access.
Criteria for univalency and quasiconformal extension for harmonic mappings
Kodai Mathematical Journal, 2021In this paper, we study the univalency and quasiconformal extension of sense-preserving harmonic mappings $f$ in the unit disk. For $f$, we introduce a quantity similar to Ahlfors's criteria and obtain a criterion of univalency and quasiconformal ...
Zhenyong Hu, Jinhua Fan
semanticscholar +1 more source
Semi-linear equations and quasiconformal mappings
Complex Variables and Elliptic Equations, 2020We study the Dirichlet problem for the semi-linear partial differential equations in simply connected domains D of the complex plane with continuous boundary data.
V. Gutlyanski, O. Nesmelova, V. Ryazanov
semanticscholar +1 more source
On distortion of harmonic measure under locally quasiconformal mappings
Complex Variables and Elliptic Equations, 2020The paper is devoted to the proof of new estimations of harmonic measure of a boundary arc of a Jordan domain D. The main result allows to estimate a distortion of harmonic measure under locally quasiconformal or quasiconformal mappings of the unit disk ...
S. Y. Graf
semanticscholar +1 more source
QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY
Bulletin of the Australian Mathematical Society, 2020Assume that $\unicode[STIX]{x1D6FA}$ and $D$ are two domains with compact smooth boundaries in the extended complex plane $\overline{\mathbf{C}}$. We prove that every quasiconformal mapping between $\unicode[STIX]{x1D6FA}$ and $D$ mapping $\infty$ onto ...
D. Kalaj
semanticscholar +1 more source
On exponential asymptotics at infinity of lower Q-homeomorphisms on the complex plane
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of UkraineThe definition of a $Q$-homeomorphism with respect to $p$-modulus is a natural generalization of the geometric definition of a quasiconformal mapping: if $Q(z)\leqslant ...
M. V. Stefanchuk
semanticscholar +1 more source
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine
The definition of a $Q$-homeomorphism with respect to $p$-modulus is a natural generalization of the geometric definition of a quasiconformal mapping: if $Q(z)\leqslant ...
M. V. Stefanchuk
semanticscholar +1 more source
The definition of a $Q$-homeomorphism with respect to $p$-modulus is a natural generalization of the geometric definition of a quasiconformal mapping: if $Q(z)\leqslant ...
M. V. Stefanchuk
semanticscholar +1 more source
, 2007
We prove a global estimate for the gradient of the solution of the Poisson differential inequality |Δu(x)| ≤ a|Du(x)|2 + b, x ∈ Bn, where a, b < ∞ and $$u|_{S^{n - 1} } \in C^{1,\alpha } (S^{n - 1} ,\mathbb{R}^m )$$. If m = 1 and $$a \le (n + 1)/({\left|
D. Kalaj
semanticscholar +1 more source
We prove a global estimate for the gradient of the solution of the Poisson differential inequality |Δu(x)| ≤ a|Du(x)|2 + b, x ∈ Bn, where a, b < ∞ and $$u|_{S^{n - 1} } \in C^{1,\alpha } (S^{n - 1} ,\mathbb{R}^m )$$. If m = 1 and $$a \le (n + 1)/({\left|
D. Kalaj
semanticscholar +1 more source
Quasiconformal Mappings in the Theory of Semi-linear Equations
Lobachevskii Journal of Mathematics, 2018V. Gutlyanskiĭ, V. Ryazanov
semanticscholar +2 more sources
QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER
Journal of the Australian Mathematical Society, 2016Xingdi Chen, Yuqin Que
semanticscholar +1 more source
Quasiconformal Extensions of Harmonic Mappings
Journal of Geometric Analysis, 2020M. Chuaqui
semanticscholar +1 more source