Mappings of finite distortion: formation of cusps. III

DOI10.1007/s10114-010-7565-1zbMath1195.30034OpenAlexW2046547532WikidataQ110086179 ScholiaQ110086179MaRDI QIDQ1958709

Pekka Koskela, Juhani Takkinen

Publication date: 4 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7565-1

zbMATH Keywords

cuspfinite distortionplanar homeomorphism

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in the complex plane (30C62)

Related Items (10)

Quasiregular curves: Hölder continuity and higher integrability ⋮ Rotation bounds for Hölder continuous homeomorphisms with integrable distortion ⋮ Optimal extensions of conformal mappings from the unit disk to cardioid-type domains ⋮ Bi-Sobolev boundary singularities ⋮ Sobolev extension on \(L^p\)-quasidisks ⋮ A note to “Mappings of finite distortion: formation of cusps II” ⋮ Mappings with finite distortion in \(L_{\mathrm{loc}}^p\): modulus of continuity and compression of Hausdorff measure ⋮ Joint rotational and stretching multifractal spectra of mappings with integrable distortion ⋮ Rotational properties of homeomorphisms with integrable distortion ⋮ Singularities in L^p-quasidisks

Cites Work

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• Mappings of BMO-distortion and Beltrami-type operators
• Mappings of \(BMO\)-bounded distortion
• Mappings of finite distortion: formation of cusps
• Regularity of the inverse of a planar Sobolev homeomorphism
• Mappings of finite distortion: Formation of cusps II
• Extremal mappings of finite distortion

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