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Original Articles

On the length–area dilatation

Pages 765-776 | Received 10 Dec 2004, Accepted 18 Feb 2005, Published online: 30 Aug 2006

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

R. Salimov & M. Stefanchuk. (2023) Finite Lipschitzness of regular solutions to nonlinear Beltrami equation. Complex Variables and Elliptic Equations 0:0, pages 1-11.
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V. Ryazanov, U. Srebro & E. Yakubov. (2012) Integral conditions in the theory of the Beltrami equations. Complex Variables and Elliptic Equations 57:12, pages 1247-1270.
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V. Ryazanov, U. Srebro & E. Yakubov. (2010) On strong solutions of the Beltrami equations. Complex Variables and Elliptic Equations 55:1-3, pages 219-236.
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Anatoly Golberg. (2010) Directional dilatations in space. Complex Variables and Elliptic Equations 55:1-3, pages 13-29.
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Articles from other publishers (15)

Vladimir Gutlyanskiĭ, Vladimir Ryazanov, Olga Nesmelova & Eduard Yakubov. (2023) The Dirichlet problem for the Beltrami equations with sources. Journal of Mathematical Sciences.
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Vladimir Gutlyanskii, Vladimir Ryazanov, Olga Nesmelova & Eduard Yakubov. (2023) The Dirichlet problem for the Beltrami equations with sources. Ukrainian Mathematical Bulletin 20:1, pages 24-59.
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Vladimir Gutlyanskii, Vladimir Ryazanov, Evgeny Sevost’yanov & Eduard Yakubov. (2022) BMO and Dirichlet Problem for Degenerate Beltrami Equation. Journal of Mathematical Sciences 268:2, pages 157-177.
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Vladimir Gutlyanskii, Vladimir Ryazanov, Evgeny Sevost’yanov & Eduard Yakubov. (2022) BMO and Asymptotic Homogeneity. Axioms 11:4, pages 171.
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Vladimir Gutlyanskii, Vladimir Ryazanov, Evgeny Sevost’yanov & Eduard Yakubov. (2022) On the degenerate Beltrami equation and hydrodynamic normalization. Journal of Mathematical Sciences 262:2, pages 165-183.
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Vladimir Gutlyanskii, Vladimir Ryazanov, Evgeny Sevost'yanov & Eduard Yakubov. (2022) On the degenerate Beltrami equation and hydrodynamic normalization. Ukrainian Mathematical Bulletin 19:1, pages 49-74.
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Volodymyr Gutlyanskii, Volodymyr Ryazanov, Evgeny Sevost'yanov & Eduard Yakubov. (2022) On mappings with asymptotic homogeneity at infinity and Beltrami equations. Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 35, pages 100-124.
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Vladimir Gutlyanskii, Vladimir Ryazanov, Eduard Yakubov & Artyem Yefimushkin. (2020) On the Hilbert boundary-value problem for Beltrami equations with singularities. Ukrainian Mathematical Bulletin 17:4, pages 484-508.
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Ruslan R. Salimov. (2016) The lower Q-homeomorphisms relative to a p-modulus. Journal of Mathematical Sciences 218:1, pages 47-68.
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Evgeny Sevost’yanov. (2015) The Miniowitz and Vuorinen theorems for the mappings with non-bounded characteristics. Israel Journal of Mathematics 209:2, pages 527-545.
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E. A. Sevost’yanov. (2014) On Equicontinuous Families of Mappings Without Values in Variable Sets. Ukrainian Mathematical Journal 66:3, pages 404-414.
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V. Ryazanov, E. Sevost’yanov, U. Srebro & E. Yakubov. (2014) On equicontinuity of ring $$Q$$ Q -mappings. Analysis and Mathematical Physics 4:1-2, pages 145-156.
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Vladimir Gutlyanskiĭ, Vladimir Ryazanov, Uri Srebro & Eduard Yakubov. (2011) On recent advances in the Beltrami equations. Journal of Mathematical Sciences 175:4, pages 413-449.
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Ruslan R Salimov & Evgenii A Sevost'yanov. (2010) The theory of shell-based $ Q$-mappings in geometric function theory. Sbornik: Mathematics 201:6, pages 909-934.
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Руслан Радикович Салимов, Ruslan Radikovich Salimov, Евгений Александрович Севостьянов & Evgenii Aleksandrovich Sevost'yanov. (2010) Теория кольцевых $Q$-отображений в геометрической теории функцийThe theory of shell-based $Q$-mappings in geometric function theory. Математический сборник Matematicheskii Sbornik 201:6, pages 131-158.
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