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• W3205602709 abstract "<p style='text-indent:20px;'>We prove higher Sobolev regularity for bounded weak solutions to a class of nonlinear nonlocal integro-differential equations. The leading operator exhibits nonuniform growth, switching between two different fractional elliptic phases that are determined by the zero set of a modulating coefficient. Solutions are shown to improve both in integrability and differentiability. These results apply to operators with rough kernels and modulating coefficients. To obtain these results we adapt a particular fractional version of the Gehring lemma developed by Kuusi, Mingione, and Sire in their work Nonlocal self-improving properties <i>Analysis &amp; PDE</i>, 8(1):57–114 for the specific nonlinear setting under investigation in this manuscript.</p>" @default.
• W3205602709 created "2021-10-25" @default.
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• W3205602709 date "2021-01-01" @default.
• W3205602709 modified "2023-09-26" @default.
• W3205602709 title "Self-Improving inequalities for bounded weak solutions to nonlocal double phase equations" @default.
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• W3205602709 doi "https://doi.org/10.3934/cpaa.2021174" @default.
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