Minimal extension for the \(\alpha\)-Manhattan norm

DOI10.4171/rlm/1027arXiv2212.08367MaRDI QIDQ6203817

Emanuela Radici, Daniel Campbell, Aapo Kauranen

Publication date: 8 April 2024

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.08367

zbMATH Keywords

homeomorphic extensionBV homeomorphismsstrict approximation in BV

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation in the complex plane (30E10) Harmonic maps, etc. (58E20) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Cites Work

• Limits of Sobolev homeomorphisms
• On the bi-Sobolev planar homeomorphisms and their approximation
• Diffeomorphic approximation of planar Sobolev homeomorphisms in Orlicz-Sobolev spaces
• Diffeomorphic approximation of Sobolev homeomorphisms
• Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
• Strict limits of planar BV homeomorphisms
• Approximation of planar BV homeomorphisms by diffeomorphisms
• On the planar minimal BV extension problem
• Diffeomorphic approximation of \(W^{1,1}\) planar Sobolev homeomorphisms
• The closure of planar diffeomorphisms in Sobolev spaces
• A planar bi-Lipschitz extension theorem
• A planar Sobolev extension theorem for piecewise linear homeomorphisms
• Hopf Differentials and Smoothing Sobolev Homeomorphisms
• Classification of strict limits of planar \(BV\) homeomorphisms

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