Smooth homeomorphic approximation of piecewise affine homeomorphisms

DOI10.4171/RLM/946zbMath1495.41011arXiv2102.06450OpenAlexW3129651894MaRDI QIDQ2075658

Filip Soudský, Daniel Campbell

Publication date: 15 February 2022

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/2102.06450

zbMATH Keywords

piecewise affine homeomorphismshomeomorphic approximationSobolev approximation

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by other special function classes (41A30) Approximations in PL-topology (57Q55)

Cites Work

• Unnamed Item
• Approximation of piecewise affine homeomorphisms by diffeomorphisms
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• Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
• Convexity conditions and existence theorems in nonlinear elasticity
• Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
• Triangulation of diffeomorphisms
• Hopf Differentials and Smoothing Sobolev Homeomorphisms
• Monotone Sobolev mappings of planar domains and surfaces

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