Magnetic fractional order Orlicz–Sobolev spaces

DOI10.4064/sm190713-5-7zbMath1473.46042arXiv1812.05998OpenAlexW3111578310MaRDI QIDQ3389230

Julián Fernández Bonder, Ariel Martin Salort

Publication date: 10 May 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05998

zbMATH Keywords

Orlicz-Sobolev spacesfractional order Sobolev spaces\(g\)-Laplace operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11)

Related Items (4)

Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Magnetic fractional Poincaré inequality in punctured domains ⋮ Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces

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• On some p-Laplacian equation with electromagnetic fields and critical nonlinearity in ℝN
• Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids

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