The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

1959 • 3,784 citations

Symmetry and related properties via the maximum principle

1979 • 2,862 citations

A symmetry problem in potential theory

1971 • 1,315 citations

Classical solutions of fully nonlinear, convex, second‐order elliptic equations

1982 • 594 citations

BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN

1984 • 389 citations

The Minkowski multidimensional problem

1978 • 388 citations

Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.

1958 • 324 citations

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

1976 • 290 citations

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

1977 • 259 citations

BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS

1983 • 135 citations

Fully nonlinear, uniformly elliptic equations under natural structure conditions

1983 • 127 citations

ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS

1984 • 47 citations

Équations du type de Monge—Ampère sur les variétés Riemanniennes compactes, II

1981 • 34 citations

Équations de Monge—Ampère réelles

1981 • 21 citations