Density Problems for second order Sobolev Spaces and Cut-off Functions on Manifolds With Unbounded Geometry

DOI10.1093/IMRN/RNZ131zbMath1485.53043arXiv1810.02578OpenAlexW2959666893WikidataQ127761762 ScholiaQ127761762MaRDI QIDQ5021197

Michele Rimoldi, Debora Impera, Giona Veronelli

Publication date: 12 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02578

zbMATH Keywords

Ricci curvatureHessianSobolev inequalitiesOmori-Yau maximum principleCalderón-Zygmund inequalitiesdistance-like functionbounded gradient

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)

Related Items (7)

Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds ⋮ On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds ⋮ Sobolev functions without compactly supported approximations ⋮ Counterexamples to the \(L^p\)-Calderón-Zygmund estimate on open manifolds ⋮ The \(L^p\)-Calderón-Zygmund inequality on non-compact manifolds of positive curvature ⋮ Higher order distance-like functions and Sobolev spaces ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

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