The anisotropic convexity of domains and the boundary estimate for two Monge-Ampère equations

DOI10.1016/j.na.2024.113580zbMATH Open1542.35211MaRDI QIDQ6564667

Ruosi Chen, Huaiyu Jian

Publication date: 1 July 2024

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

zbMATH Keywords

degenerate Monge-Ampère equationboundary estimatessingular Monge-Ampère equationHölder regulalrity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Singular elliptic equations (35J75) Monge-Ampère equations (35J96)

Cites Work

• Title not available (Why is that?)
• The Monge-Ampère equation and its applications
• Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• Two remarks on Monge-Ampère equations
• Optimal boundary regularity for a singular Monge-Ampère equation
• Optimal boundary regularity for some singular Monge-Ampère equations on bounded convex domains
• Existence and regularity of the solutions of some singular Monge-Ampère equations
• On a real Monge-Ampère functional
• Existence of Global Smooth Solutions to Dirichlet Problem for Degenerate Elliptic Monge–Ampere Equations
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• The eigenvalue problem for the Monge-Ampère operator on general bounded convex domains
• The Monge-Ampère equation
• Remarks on sharp boundary estimates for singular and degenerate Monge-Ampère equations
• Sharp boundary regularity for some degenerate-singular Monge-Ampère equations on \(k\)-convex domain

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