Fractional Orlicz-Sobolev embeddings

DOI10.1016/j.matpur.2020.12.007zbMath1472.46034arXiv2001.05565OpenAlexW3113281643MaRDI QIDQ2661965

Andrea Cianchi, Luboš Pick, Angela Alberico, Lenka Slavíková

Publication date: 8 April 2021

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

Full work available at URL: https://arxiv.org/abs/2001.05565

zbMATH Keywords

Sobolev embeddingsOrlicz spacesrearrangement-invariant spacesHardy inequalitiesfractional Orlicz-Sobolev spaces

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) Fractional partial differential equations (35R11)

Related Items (23)

Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz-Sobolev spaces ⋮ Fractional eigenvalues in Orlicz spaces with no \(\Delta_2\) condition ⋮ Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces ⋮ Optimality problems in Orlicz spaces ⋮ 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 ⋮ On fractional Orlicz‑Sobolev spaces ⋮ Variational eigenvalues of the fractional g-Laplacian ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian ⋮ A new class of fractional Orlicz-Sobolev space and singular elliptic problems ⋮ A Moser-Trudinger type inequality on the Orlicz fractional space ⋮ Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz-Sobolev spaces ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ Compact embedding theorems and a Lions' type lemma for fractional Orlicz-Sobolev spaces ⋮ On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces ⋮ Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ Hardy inequalities in fractional Orlicz-Sobolev 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 ⋮ Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces

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