Results 41 to 50 of about 202 (68)
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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
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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
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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
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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
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On exponential asymptotics of lower Q-homeomorphisms at a point of the complex plane
Proceedings of the Institute of Applied Mathematics and Mechanics NAS of UkraineThe notion of a $Q$-homeomorphism with respect to the $p$-module extends the classical geometric definition of a quasiconformal mapping.
M. V. Stefanchuk
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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
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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
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, 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 $$a \le (n + 1)/({\left|
D. Kalaj
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We prove a global estimate for the gradient of the solution of the Poisson differential inequality |Δu(x)| ≤ a|Du(x)|2 + b, x ∈ Bn, where a, b < ∞ and $$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
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Quasiconformal Mappings in the Theory of Semi-linear Equations
Lobachevskii Journal of Mathematics, 2018V. Gutlyanskiĭ, V. Ryazanov
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QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER
Journal of the Australian Mathematical Society, 2016Xingdi Chen, Yuqin Que
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Quasiconformal Extensions of Harmonic Mappings
Journal of Geometric Analysis, 2020M. Chuaqui
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