Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative

DOI10.1007/s00526-022-02346-wOpenAlexW4308750020WikidataQ115385868 ScholiaQ115385868MaRDI QIDQ2099834

Francesco Serra Cassano, Sebastiano Nicolussi Golo, Luigi Ambrosio

Publication date: 18 November 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03306

zbMATH Keywords

Sobolev-Orlicz spacesMeyers-Serrin theorem

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) Theoretical approximation in context of PDEs (35A35)

Related Items (2)

Classical flows of vector fields with exponential or sub-exponential summability ⋮ Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative

Cites Work

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• Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative
• \(H=W\) Musielak spaces framework
• Orlicz-Sobolev spaces and imbedding theorems
• Strong convergence results related to strict convexity
• Some approximation properties in Orlicz-Sobolev spaces
• H = W

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