Compact embedding theorems for fractional Sobolev spaces with variable exponents
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Publication:2289835
DOI10.1007/s43036-019-00006-zzbMath1446.46015OpenAlexW2995044903MaRDI QIDQ2289835
Azeddine Baalal, Mohamed Berghout
Publication date: 27 January 2020
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-019-00006-z
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Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
- Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
- The Kolmogorov-Riesz compactness theorem
- Lebesgue and Sobolev spaces with variable exponents
- Overview of differential equations with non-standard growth
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- Density properties for fractional Sobolev spaces with variable exponents
- Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
- Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent
- Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
- Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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