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- W4288642020 abstract "In this paper, we study the interplay between Orlicz-Sobolev spaces $L^{M}$ and $W^{1,M}$ and fractional Sobolev spaces $W^{s,p}$. More precisely, we give some qualitative properties of the new fractional Orlicz-Sobolev space $W^{s,M}$, where $sin (0,1)$ and $M$ is an $N-$function. We also study a related non-local operator, which is a fractional version of the nonhomogeneous $M$-Laplace operator. As an application, we prove existence of weak solution for a non-local problem involving the new fractional $M-$Laplacian operator." @default.
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- W4288642020 date "2019-01-03" @default.
- W4288642020 modified "2023-09-28" @default.
- W4288642020 title "Basic results of fractional Orlicz-Sobolev space and applications to non-local problems" @default.
- W4288642020 doi "https://doi.org/10.48550/arxiv.1901.00784" @default.
- W4288642020 hasPublicationYear "2019" @default.
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