Regularity estimates for nonlocal equations with an asymptotic property

DOI10.1007/s42985-021-00090-yzbMath1479.35167OpenAlexW3157964895WikidataQ115369943 ScholiaQ115369943MaRDI QIDQ2061379

Disson dos Prazeres, Aelson Sobral

Publication date: 13 December 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00090-y

zbMATH Keywords

local Hölder estimatesnonlocal recession operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Integro-partial differential equations (35R09)

Cites Work

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• Sharp Hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach
• Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
• Interior a priori estimates for solutions of fully nonlinear equations
• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Regularity results for nonlocal equations by approximation
• Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey
• Small perturbation solutions for nonlocal elliptic equations
• Regularity theory for fully nonlinear integro-differential equations
• Regularity estimates for fully non linear elliptic equations which are asymptotically convex
• C^{1, α}Interior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels
• \(C^{\sigma +\alpha}\) regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels

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