Higher Hölder regularity for nonlocal equations with irregular kernel

DOI10.1007/s00526-020-01915-1OpenAlexW3122823548WikidataQ115386839 ScholiaQ115386839MaRDI QIDQ2225907

Simon Nowak

Publication date: 11 February 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15906

zbMATH Keywords

nonlinear nonlocal elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items

Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order ⋮ Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient ⋮ Convergence of level sets in fractional Laplacian regularization ⋮ Local Hölder continuity for fractional nonlocal equations with general growth ⋮ Local properties of fractional parabolic De Giorgi classes of order \(s, p\) ⋮ Higher Hölder regularity for nonlocal parabolic equations with irregular kernels ⋮ A Hölder estimate with an optimal tail for nonlocal parabolic \(p\)-Laplace equations ⋮ Regularity theory for nonlocal equations with VMO coefficients ⋮ Improved Sobolev regularity for linear nonlocal equations with VMO coefficients ⋮ On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations ⋮ Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Local Hölder regularity for nonlocal equations with variable powers ⋮ Hölder regularity for weak solutions to nonlocal double phase problems

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