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- W4287702967 abstract "We propose two asymptotic expansions of the two interrelated integral-type averages, in the context of the fractional $infty$-Laplacian $Delta_infty^s$ for $sin (frac{1}{2},1)$. This operator has been introduced and first studied in [Bjorland-Caffarelli-Figalli, 2012]. Our expansions are parametrised by the radius of the removed singularity $epsilon$, and allow for the identification of $Delta_infty^sphi(x)$ as the $epsilon^{2s}$-order coefficient of the deviation of the $epsilon$-average from the value $phi(x)$, in the limit $epsilonto 0+$. The averages are well posed for functions $phi$ that are only Borel regular and bounded." @default.
- W4287702967 created "2022-07-26" @default.
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- W4287702967 date "2020-07-30" @default.
- W4287702967 modified "2023-09-29" @default.
- W4287702967 title "On asymptotic expansions for the fractional infinity Laplacian" @default.
- W4287702967 doi "https://doi.org/10.48550/arxiv.2007.15765" @default.
- W4287702967 hasPublicationYear "2020" @default.
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