On the planar minimal BV extension problem

DOI10.4171/RLM/819zbMath1407.46030OpenAlexW2809257849MaRDI QIDQ1650840

Emanuela Radici, Aldo Pratelli

Publication date: 13 July 2018

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://doi.org/10.4171/rlm/819

zbMATH Keywords

functions of bounded variationhomeomorphic extensionpiecewise affine approximation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence theories for free problems in two or more independent variables (49J10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (5)

Strict limits of planar BV homeomorphisms ⋮ Approximation of planar BV homeomorphisms by diffeomorphisms ⋮ Classification of strict limits of planar \(BV\) homeomorphisms ⋮ Minimal extension for the \(\alpha\)-Manhattan norm ⋮ Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces

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