Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations

DOI10.1007/s00229-021-01346-yzbMath1500.35080OpenAlexW3206918464MaRDI QIDQ2084289

Duan Wu, Peng Cheng Niu

Publication date: 18 October 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-021-01346-y

zbMATH Keywords

Dini conditionPucci class

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) Viscosity solutions to PDEs (35D40)

Cites Work

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• Boundary first order derivative estimates for fully nonlinear elliptic equations
• Pointwise boundary differentiability of solutions of elliptic equations
• Elliptic equations on convex domains with nonhomogeneous Dirichlet boundary conditions
• Elliptic partial differential equations of second order
• An optimal geometric condition on domains for boundary differentiability of solutions of elliptic equations
• Boundary pointwise \(C^{1, \alpha }\) and \(C^{2, \alpha }\) regularity for fully nonlinear elliptic equations
• A note on boundary differentiability of solutions of elliptic equations in nondivergence form
• Boundary behavior of solutions of elliptic equations in nondivergence form
• Differentiability at lateral boundary for fully nonlinear parabolic equations
• Boundary differentiability of solutions of elliptic equations on convex domains
• User’s guide to viscosity solutions of second order partial differential equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients