On a Monge-Ampère equation arising in geometric optics

The Weyl and Minkowski problems in differential geometry in the large

Louis Nirenberg · Communications on Pure and Applied Mathematics · 1953 · 451 citations

Natural Sciences, Mathematics, Physics +14

The dirichlet problem for nonlinear second‐order elliptic equations. II. Complex monge‐ampère, and uniformaly elliptic, equations

Luis Caffarelli, J. J. Kohn, Louis Nirenberg et al. · Communications on Pure and Applied Mathematics · 1985 · 325 citations

Natural Sciences, Mathematics, Differential Equations +11

On the regularity of the solution of the <i>n</i>‐dimensional Minkowski problem

Shiu‐Yuen Cheng, Shing–Tung Yau · Communications on Pure and Applied Mathematics · 1976 · 318 citations

Natural Sciences, Mathematics, Geometry +7

On the design of a reflector antenna

Xu‐Jia Wang · Inverse Problems · 1996 · 135 citations

Engineering, Electrical Engineering, Mathematics +14

C2 a priori estimates for degenerate Monge-Ampère equations

Pengfei Guan · Duke Mathematical Journal · 1997 · 61 citations

Natural Sciences, Mathematics, Differential Equations +9