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Higher integrability for nonlinear nonlocal equations with irregular kernel

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Publication:5160602
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DOI10.1515/9783110700763-017zbMath1476.35068arXiv2008.05356OpenAlexW3048603358MaRDI QIDQ5160602

Simon Nowak

Publication date: 29 October 2021

Published in: Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05356

zbMATH Keywords

Dirichlet problemSobolev regularitygradient estimates


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)


Related Items

Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient, Higher Hölder regularity for nonlocal parabolic equations with irregular kernels, Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities, Regularity theory for nonlocal equations with VMO coefficients, Improved Sobolev regularity for linear nonlocal equations with VMO coefficients



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