The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation

The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

Luis Caffarelli, Louis Nirenberg, Joel Spruck · Acta Mathematica · 1985 · 866 citations · Full text

=ψ Dans, Monge-ampere Equation, Etudie Le Probleme +7

The Weyl and Minkowski problems in differential geometry in the large

Louis Nirenberg · Communications on Pure and Applied Mathematics · 1953 · 440 citations

Integral Geometry, Global Geometry, Geometric Partial Differential Equation +4

On the Dirichlet problem for Hessian equations

Neil S. Trudinger · Acta Mathematica · 1995 · 344 citations · Full text

Dirichlet Form, Elliptic Equation, Calculus Of Variation +1

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 · 308 citations

Spectral Theory, Engineering, Variational Analysis +4

Convexity estimates for mean curvature flow and singularities of mean convex surfaces

Gerhard Huisken, Carlo Sinestrari · Acta Mathematica · 1999 · 293 citations · Full text

Geometric Partial Differential Equation, Geometry, Mean Convex Surfaces +6