On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces

DOI10.4171/RLM/918zbMath1479.46036OpenAlexW3129833639MaRDI QIDQ2039127

Angela Alberico, Lenka Slavíková, Luboš Pick, Andrea Cianchi

Publication date: 2 July 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/918

zbMATH Keywords

Orlicz-Sobolev spacesfunctions of bounded variationfractional Orlicz-Sobolev spaceslimit of smoothness parameters

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)

Related Items (10)

Fractional Orlicz-Sobolev embeddings ⋮ A weak-type expression of the Orlicz modular ⋮ Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents ⋮ Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity ⋮ On fractional Orlicz‑Sobolev spaces ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition

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