Characterisation of upper gradients on the weighted Euclidean space and applications

DOI10.1007/s10231-021-01088-4zbMath1482.46041arXiv2007.11904OpenAlexW3134515041WikidataQ109744230 ScholiaQ109744230MaRDI QIDQ2048647

Tapio Rajala, Enrico Pasqualetto, Danka Lučić

Publication date: 23 August 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11904

zbMATH Keywords

Sobolev spacedecomposability bundleweighted Euclidean space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Continuity and differentiation questions (26B05)

Related Items (5)

On the \(p\)-Laplacian evolution equation in metric measure spaces ⋮ Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport ⋮ Mass Optimization Problem with Convex Cost ⋮ A note on BV and 1-Sobolev functions on the weighted Euclidean space ⋮ Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential

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