Defect of compactness in spaces of bounded variation

DOI10.1016/j.jfa.2016.04.002zbMath1356.46017OpenAlexW2295018337MaRDI QIDQ281508

Adimurthi, Kyril Tintarev

Publication date: 11 May 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.04.002

zbMATH Keywords

functions of bounded variationconcentration compactnessprofile decomposition1-Laplaciansubelliptic Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Compactness in Banach (or normed) spaces (46B50) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Applications of functional analysis to differential and integral equations (46N20) Subelliptic equations (35H20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Profile decomposition in Sobolev spaces and decomposition of integral functionals. I: Inhomogeneous case ⋮ Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ Cocompact embedding theorem for functions of bounded variation into Lorentz spaces ⋮ Four proofs of cocompactness for Sobolev embeddings ⋮ Profile decomposition in Sobolev spaces of non-compact manifolds ⋮ Theoretical developments in the study of partial differential equations

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
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