\(W^{2, \delta }\) estimates for solution sets of fully nonlinear elliptic inequalities on \(C^{1, \alpha }\) domains

DOI10.1016/J.JFA.2023.109985zbMath1514.35187arXiv2201.02951OpenAlexW4366983385MaRDI QIDQ6040832

Xue-Mei Li, Dongsheng Li

Publication date: 22 May 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02951

zbMATH Keywords

\(W^{2, \delta }\) estimatesfully nonlinear elliptic equations Dirichlet condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Cites Work

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• Boundary pointwise \(C^{1, \alpha }\) and \(C^{2, \alpha }\) regularity for fully nonlinear elliptic equations
• \(W^{2,p}\)-estimates for fully nonlinear elliptic equations with oblique boundary conditions
• Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• W^2,p interior estimates of fully nonlinear elliptic equations

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