Boundary first order derivative estimates for fully nonlinear elliptic equations

DOI10.1016/j.jde.2011.10.007zbMath1235.35101OpenAlexW2001198446MaRDI QIDQ652464

Lihe Wang, Fei-Yao Ma

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.007

zbMATH Keywords

viscosity solutionsDini conditionfully nonlinear elliptic equationsboundary regularity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40)

Related Items (17)

Differentiability at lateral boundary for fully nonlinear parabolic equations ⋮ Unnamed Item ⋮ Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form ⋮ A note on boundary differentiability of solutions of elliptic equations in nondivergence form ⋮ Regularity of interfaces for a Pucci type segregation problem ⋮ Boundary Lipschitz regularity of solutions for semilinear elliptic equations in divergence form ⋮ Regularity theory of elliptic systems in \(\varepsilon\)-scale flat domains ⋮ Regularity of higher order in two-phase free boundary problems ⋮ Boundary pointwise \(C^{1, \alpha }\) and \(C^{2, \alpha }\) regularity for fully nonlinear elliptic equations ⋮ Boundary behavior of solutions of elliptic equations in nondivergence form ⋮ Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form ⋮ Unnamed Item ⋮ Free boundary regularity for fully nonlinear non-homogeneous two-phase problems ⋮ Pointwise boundary differentiability of solutions of elliptic equations ⋮ Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case ⋮ Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations ⋮ Borderline regularity for fully nonlinear equations in Dini domains

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• Elliptic equations on convex domains with nonhomogeneous Dirichlet boundary conditions
• Fully nonlinear parabolic equations and the Dini condition
• Boundary differentiability of solutions of elliptic equations on convex domains
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• Fully nonlinear elliptic equations and the dini condition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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