The Väisälä inequality for mappings with finite length distortion

DOI10.1080/17476930902998993zbMath1184.30015OpenAlexW2036268280MaRDI QIDQ3406610

Evgeny Aleksandrovich Sevost'yanov

Publication date: 19 February 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: http://eprints.zu.edu.ua/14117/1/Sevostyanov_Donetsk_Conference.pdf

zbMATH Keywords

capacityopen discrete mappingsmodulus inequalitiespath families

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (10)

On a Väisälä-type inequality for the angular dilatation of mappings and some of its applications ⋮ On the lower order of mappings with finite length distortion ⋮ On isolated singularities of mappings with finite length distortion ⋮ On the local behavior of mappings with unbounded quasiconformality coefficient ⋮ The limit mapping of generalized ring homeomorphisms ⋮ Some properties of open, discrete, generalized ring mappings ⋮ Lower bounds for the volume of the image of a ball ⋮ Boundary behaviour of the mappings satisfying generalized inverse modular inequalities ⋮ Moduli inequalities for W¹_n-1,loc-mappings with weighted bounded (q, p)-distortion ⋮ On unique determination of conformal type for domains in Euclidean spaces

Cites Work

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• Elliptic equations and maps of bounded length distortion
• On solutions of the Beltrami equation
• Mappings of BMO-distortion and Beltrami-type operators
• On conformal dilatation in space
• Mappings with finite length distortion
• Mappings of finite distortion: Capacity and modulus inequalities
• Mappings with integrable dilatation in higher dimensions
• Local homeomorphisms having localACLⁿinverses
• Extremal mappings of finite distortion

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