A note on indecomposable sets of finite perimeter

DOI10.1515/acv-2021-0029zbMath1518.26012arXiv2103.14459OpenAlexW3142192550WikidataQ114007291 ScholiaQ114007291MaRDI QIDQ6165631

Panu Lahti

Publication date: 6 July 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14459

zbMATH Keywords

Poincaré inequalitydoubling measureisotropic space

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Hausdorff and packing measures (28A78) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise properties of functions of bounded variation in metric spaces
• Nonlinear potential theory on metric spaces
• Functions of bounded variation on ``good metric spaces
• Quasiconformal maps in metric spaces with controlled geometry
• Fine properties of sets of finite perimeter in doubling metric measure spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Indecomposable sets of finite perimeter in doubling metric measure spaces
• A new Federer-type characterization of sets of finite perimeter
• Connected components of sets of finite perimeter and applications to image processing

This page was built for publication: A note on indecomposable sets of finite perimeter