Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents

DOI10.1007/s12220-021-00861-4zbMath1498.46048arXiv2004.08448OpenAlexW3017379459WikidataQ114221019 ScholiaQ114221019MaRDI QIDQ2117473

Wojciech Górny

Publication date: 21 March 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08448

zbMATH Keywords

nonlocal problemsdifference quotientsmetric measure spaces

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (2)

Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces

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