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- W3048603358 abstract "We prove a higher regularity result for weak solutions to nonlinear nonlocal equations along the integrability scale of Bessel potential spaces Hs,punder a mild continuity assumption on the kernel. By embedding, this also yields regularity in Sobolev-Slobodeckij spaces Ws,p. Our approach is based on a characterization of Bessel potential spaces in terms of a certain nonlocal gradient-type operator and a perturbation approach commonly used in the context of local elliptic equations in divergence form." @default.
- W3048603358 created "2020-08-18" @default.
- W3048603358 creator A5013183494 @default.
- W3048603358 date "2021-01-18" @default.
- W3048603358 modified "2023-09-26" @default.
- W3048603358 title "Higher integrability for nonlinear nonlocal equations with irregular kernel" @default.
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- W3048603358 doi "https://doi.org/10.1515/9783110700763-017" @default.
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