On the regularity of the solution of the n ‐dimensional Minkowski problem

1976/09/01 by Shiu‐Yuen Cheng, Shing–Tung Yau, Shing‐Tung Yau · 11 citations
Mathematics · #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems #Point processes and geometric inequalities

paper · doi:10.1002/cpa.3160290504

crossref issued 1976/09/01 · crossref published 1976/09/01 · crossref published-print 1976/09/01 · openalex publication_date 1976/09/01 · crossref published-online 2006/10/13 · crossref created 2007/04/13 · crossref deposited 2023/11/12 · openalex created_date 2025/10/10 · crossref indexed 2026/07/23 · openalex updated_date 2026/07/23

Citations

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

Cited by

• The L_p-Gaussian Minkowski problem
• Two Whyburn type topological theorems and its applications to Monge-Ampère equations
• 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
• From the Brunn-Minkowski inequality to a class of Poincaré type inequalities
• Parabolic approaches to curvature equations
• The discrete logarithmic Minkowski problem for the electrostatic \mathfrakp-capacity
• Convex capillary hypersurfaces of prescribed curvature problem
• A unified flow approach to smooth, even Lp-Minkowski problems
• Shing-Tung Yau [wikipedia]
• Shiu-Yuen Cheng [wikipedia]