A local Hölder estimate of (\(K_1,K_2\))-quasiconformal mappings between hypersurfaces

DOI10.1007/S10114-015-3519-YzbMath1374.30071OpenAlexW1178639368MaRDI QIDQ748182

Shen-Zhou Zheng

Publication date: 20 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10114-015-3519-y

zbMATH Keywords

isoperimetric inequalityco-area formula(\(K_1,K_2\))-quasiconformal mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Quasiconformal mappings in metric spaces (30L10)

Cites Work

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• Regularity for weakly \((K_{1}, K_{2})\)-quasiregular mappings
• \((K, K^{\prime})\)-quasiconformal harmonic mappings
• Quasiconformal 4-manifolds
• Equations of mean curvature type in 2 independent variables
• A Hölder estimate for quasiconformal maps between surfaces in Euclidean space
• Elliptic partial differential equations of second order
• Quasiregular mappings in even dimensions
• Regularity results for the generalized Beltrami system
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• On the Holder Continuity of Quasi Conformal and Elliptic Mappings
• Analytical foundations of the theory of quasiconformal mappings in R^n
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Weakly Differentiable Functions

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