Local simplicity, topology, and sets of finite perimeter

DOI10.4171/IFB/253zbMath1220.49023OpenAlexW1993718322MaRDI QIDQ633937

David G. Caraballo

Publication date: 2 August 2011

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/253

zbMATH Keywords

total variationregularitydecompositionfinite perimeterlocal simplicitymeasure theoretic boundaryreduced boundaryTV-minimization

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Decomposition methods (49M27)

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Minkowski inequalities via nonlinear potential theory ⋮ Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds

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