On fractional Orlicz-Sobolev spaces

DOI10.1007/s13324-021-00511-6zbMath1477.46039OpenAlexW3139193245MaRDI QIDQ2030275

Andrea Cianchi, Angela Alberico, Luboš Pick, Lenka Slavíková

Publication date: 7 June 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00511-6

zbMATH Keywords

Sobolev embeddingscompact embeddingsOrlicz spacesrearrangement-invariant spacesfractional Orlicz-Sobolev spaceslimits of fractional seminorms

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) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)

Related Items (9)

Harnack inequality for nonlocal problems with non-standard growth ⋮ Local Hölder continuity for fractional nonlocal equations with general growth ⋮ Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ Fractional higher differentiability for solutions of stationary Stokes and Navier-Stokes systems with Orlicz growth ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces ⋮ Regularity for nonlocal problems with non-standard growth ⋮ Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition

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