Embedding theorems for variable exponent fractional Sobolev spaces and an application

DOI10.3934/math.2021571OpenAlexW3177000534MaRDI QIDQ2671041

Yongqiang Fu, Haikun Liu

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021571

zbMATH Keywords

embeddingfractional Sobolev spacesvariable exponent\(s(x)\)-\(p(x)\)-Laplacian equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Dilations, extensions, compressions of linear operators (47A20)

Related Items (4)

Generalized conformable operators: application to the design of nonlinear observers ⋮ On a new fractional Sobolev space with variable exponent on complete manifolds ⋮ Morse's theory and local linking for a fractional \((p_1 (\mathrm{x}.,), p_2 (\mathrm{x}.,))\): Laplacian problems on compact manifolds ⋮ Fractional Sobolev spaces with kernel function on compact Riemannian manifolds

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