On a class of nonlocal problems in new fractional Musielak-Sobolev spaces

DOI10.1080/00036811.2020.1789601zbMath1497.46040OpenAlexW3040443308MaRDI QIDQ5072926

Mohammed Srati, Elhoussine Azroul, Mohammed Shimi, Abdelmoujib Benkirane

Publication date: 5 May 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1789601

zbMATH Keywords

Dirichlet problemnonlocal problemsdirect variational methodfractional Musielak-Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (5)

Embedding and extension results in fractional Musielak–Sobolev spaces ⋮ On the L^∞‐regularity for fractional Orlicz problems via Moser's iteration ⋮ Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ Multiple solutions for a class of quasilinear problems with double criticality

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