On the regularity of the monge‐ampère equation det (∂ 2 u/∂x i ∂x j ) = f(x, u)

1977/01/01 by Shiu‐Yuen Cheng, Shing–Tung Yau, Shing‐Tung Yau · 5 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Functional Equations Stability Results

paper · doi:10.1002/cpa.3160300104

crossref issued 1977/01/01 · crossref published 1977/01/01 · crossref published-print 1977/01/01 · openalex publication_date 1977/01/01 · crossref published-online 2006/10/13 · crossref created 2007/04/13 · crossref deposited 2023/11/12 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/07/31

Cited by

• On the regularity of the solution of the n ‐dimensional Minkowski problem
• On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I
• The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Shing-Tung Yau [wikipedia]
• Shiu-Yuen Cheng [wikipedia]