Embedding theorems on the fractional Orlicz-Sobolev spaces

DOI10.11568/kjm.2021.29.1.57zbMath1481.46029OpenAlexW3141256961MaRDI QIDQ5006066

Q-Heung Choi, Tacksun Jung

Publication date: 12 August 2021

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/1016/592

zbMATH Keywords

fractional Orlicz spacefractional Orlicz-Sobolev spaceembedding inclusion

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 (1)

Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian

Cites Work

• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Electrorheological fluids: modeling and mathematical theory
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• Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
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• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
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• Nonhomogeneousp(x)-Laplacian Steklov problem with weights
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients

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