Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces

DOI10.1007/s10455-022-09824-6zbMath1491.35418arXiv2010.15432OpenAlexW4220869697WikidataQ114227716 ScholiaQ114227716MaRDI QIDQ2140584

Mirela Kohr, Victor Nistor

Publication date: 23 May 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15432

zbMATH Keywords

Sobolev spacesweighted Sobolev spacesRiemannian manifoldsdifferential operatorsLevi-Civita connectionbounded curvaturebidifferential operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems on manifolds (58J32) Singular elliptic equations (35J75) PDEs on manifolds (35R01) Boundary value problems for systems of linear higher-order PDEs (35G45)

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