Defect of compactness for Sobolev spaces on manifolds with bounded geometry

DOI10.2422/2036-2145.201804_005zbMath1480.46049arXiv1804.07950OpenAlexW2963256511MaRDI QIDQ5003170

Kyril Tintarev, Leszek Skrzypczak

Publication date: 20 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07950

zbMATH Keywords

Riemannian manifoldbounded geometryprofile decompositiondefect of compactness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial differential equations on manifolds; differential operators (58J99) Compactness in Banach (or normed) spaces (46B50) Other special methods applied to PDEs (35A25) Blow-up in context of PDEs (35B44)

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