Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations

DOI10.1016/j.na.2021.112681zbMath1481.35103OpenAlexW4200334255WikidataQ114146021 ScholiaQ114146021MaRDI QIDQ2069839

Mengni Li, You Li

Publication date: 21 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.na.2021.112681

zbMATH Keywords

Dirichlet problemauxiliary functionsfully nonlinear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Affine differential geometry (53A15) Comparison principles in context of PDEs (35B51)

Related Items (1)

Boundary lower estimates for a class of fully nonlinear elliptic partial differential equations

Cites Work

• Mirror symmetric solutions to the centro-affine Minkowski problem
• Multiple solutions of the \(L_{p}\)-Minkowski problem
• Bernstein theorem and regularity for a class of Monge-Ampère equations
• The Monge-Ampère equation and its applications
• Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
• The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
• Elliptic partial differential equations of second order
• Optimal boundary regularity for a singular Monge-Ampère equation
• Boundary \(C^{2, \alpha}\) estimates for Monge-Ampère type equations
• Boundary regularity for the Monge-Ampère and affine maximal surface equations
• The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
• The Christoffel-Minkowski problem. II: Weingarten curvature equations
• The Dirichlet problem for the equation of prescribed Gauss curvature
• The k-Hessian Equation
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• A class of prescribed Weingarten curvature equations in Euclidean space
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