Abstract
This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent \(W^{s,p(.),{\tilde{p}}(.,.)} (\Omega )\), when p and \({\tilde{p}}\) satisfy some conditions. As application, we study the existence of solutions for a class of Kirchhoff–Choquard problem in \({\mathbb {R}}^N\).
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Bahrouni, S., Ounaies, H. Strauss and Lions Type Theorems for the Fractional Sobolev Spaces with Variable Exponent and Applications to Nonlocal Kirchhoff–Choquard Problem. Mediterr. J. Math. 18, 46 (2021). https://doi.org/10.1007/s00009-020-01661-w
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DOI: https://doi.org/10.1007/s00009-020-01661-w
Keywords
- Fractional Sobolev space with variable exponent
- Strauss compact embedding
- Lions-type theorem
- Kirchhoff–Choquard problem