On the defect of compactness in Sobolev embeddings on Riemannian manifolds

DOI10.1090/spmj/1606zbMath1471.46037OpenAlexW3022546219WikidataQ115280774 ScholiaQ115280774MaRDI QIDQ5108690

Kyril Tintarev

Publication date: 6 May 2020

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1606

zbMATH Keywords

weak convergenceconcentration compactnessprofile decompositionSobolev spaces on manifolds

Mathematics Subject Classification ID

Compactness (54D30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Abstract harmonic analysis (43A99) Compactness in Banach (or normed) spaces (46B50) Variational problems in infinite-dimensional spaces (58E99) Applications of functional analysis to differential and integral equations (46N20)

Related Items (1)

Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation

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