Regularity for fully nonlinear integro-differential operators with kernels of variable orders

DOI10.1016/j.na.2018.07.009zbMath1437.35300arXiv1805.07955OpenAlexW2963814512MaRDI QIDQ1985839

Yanyan Li

Publication date: 7 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07955

zbMATH Keywords

nonlinear elliptic equationsintegro-differential operatorssmoothness and regularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Integro-differential operators (47G20)

Related Items (5)

Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions ⋮ Generalized Evans-Krylov and Schauder type estimates for nonlocal fully nonlinear equations with rough kernels of variable orders ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian ⋮ Harnack inequality for nonlocal operators on manifolds with nonnegative curvature

Cites Work

• Regularity for fully nonlinear integro-differential operators with regularly varying kernels
• Hitchhiker's guide to the fractional Sobolev spaces
• Regularity theory for fully nonlinear integro-differential equations
• Unnamed Item

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