Higher regularity and uniqueness for inner variational equations

DOI10.1007/s00526-021-02121-3zbMath1490.30014arXiv2007.15150OpenAlexW3046018717WikidataQ114018077 ScholiaQ114018077MaRDI QIDQ2062985

Cong Yao, Gaven J. Martin

Publication date: 3 January 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15150

zbMATH Keywords

regularityfinite distortionAhlfors-Hopf equation

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

The Teichmüller problem for L^p-means of distortion

Cites Work

• Lectures on mappings of finite distortion
• Lipschitz regularity for inner-variational equations
• On minimisers of \(L^p\)-mean distortion
• Regularity of the inverse of a planar Sobolev homeomorphism
• On quasiconformal mappings
• Deformations with smallest weighted L^p average distortion and Nitsche-type phenomena
• A special case of Schönflies theorem for quasiconformal mappings in n-space
• Change of variables formula under minimal assumptions
• Extremal mappings of finite distortion
• An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
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