Approximation of planar BV homeomorphisms by diffeomorphisms

DOI10.1016/j.jfa.2018.10.022zbMath1426.41019OpenAlexW2900637525WikidataQ128939969 ScholiaQ128939969MaRDI QIDQ1634588

Emanuela Radici, Aldo Pratelli

Publication date: 18 December 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11568/1017208

zbMATH Keywords

area strict convergence in BVdiffeomorphic approximation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation with constraints (41A29) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (7)

Classification of strict limits of planar \(BV\) homeomorphisms ⋮ Residually many BV homeomorphisms map a null set onto a set of full measure ⋮ A sense‐preserving Sobolev homeomorphism with negative Jacobian almost everywhere ⋮ Sobolev homeomorphic extensions from two to three dimensions ⋮ Minimal extension for the \(\alpha\)-Manhattan norm ⋮ Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces ⋮ Approximation of planar SobolevW^2,1homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms

Cites Work

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• Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
• Relaxation of signed integral functionals in BV
• Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV
• On the planar minimal BV extension problem
• Diffeomorphic approximation of \(W^{1,1}\) planar Sobolev homeomorphisms
• Homeomorphisms of bounded variation
• A planar Sobolev extension theorem for piecewise linear homeomorphisms
• On the total variations for the inverse of a BV-homeomorphism
• STRICTLY CONTINUOUS EXTENSION OF FUNCTIONALS WITH LINEAR GROWTH TO THE SPACE BV
• Lower semicontinuity and continuity of functions of measures with respect to the strict convergence

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