Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\)

DOI10.1016/j.matpur.2021.05.012zbMath1486.46037OpenAlexW3168686059MaRDI QIDQ2065074

Alberto Fiorenza, Amiran Gogatishvili, Aleš Nekvinda, Jean Michel Rakotoson

Publication date: 7 January 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2021.05.012

zbMATH Keywords

compactnessBanach function spacesLebesgue spaces with variable exponent

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Related Items (1)

Almost compact and compact embeddings of variable exponent spaces

Cites Work

• Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent
• Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent
• Sobolev imbedding theorems in borderline cases

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