The \(L^p\) Teichmüller theory: existence and regularity of critical points

DOI10.1007/s00205-023-01955-9arXiv2007.15149OpenAlexW4391485741MaRDI QIDQ6153489

Gaven J. Martin, Cong Yao

Publication date: 14 February 2024

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15149

zbMATH Keywords

distortionminimizer\(p\)-conformal energy functional

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Extremal inequalities in Sobolev spaces and quasiconformal mappings
• Quasiconformal mappings and spaces of functions with generalized first derivatives
• Mappings of finite distortion: The zero set of the Jacobian
• Conformally natural extension of homeomorphisms of the circle
• Lipschitz regularity for inner-variational equations
• Quasiregular families bounded in \(L^p\) and elliptic estimates
• On minimisers of \(L^p\)-mean distortion
• On quasiconformal mappings
• Deformations with smallest weighted L^p average distortion and Nitsche-type phenomena
• $L^p$--bounds for the Beurling--Ahlfors transform
• A special case of Schönflies theorem for quasiconformal mappings in n-space
• Change of variables formula under minimal assumptions
• Heating of the Ahlfors–Beurling operator, and estimates of its norm
• Super regularity for Beltrami systems
• Extremal mappings of finite distortion
• An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings

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