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

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.7K citations

Monge-ampere Equation, Elliptic Equation, Geometric Partial Differential Equation +4

Symmetry and related properties via the maximum principle

Basilis Gidas, Wei‐Ming Ni, Louis Nirenberg · Communications in Mathematical Physics · 1979 · 2.9K citations

Symmetry Principles, Symmetry (Physics), Extremal Set Theory +2

A symmetry problem in potential theory

James Serrin · Archive for Rational Mechanics and Analysis · 1971 · 1.3K citations

Symmetry Problem, Potential Theory, Symmetry (Physics) +2

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

Lawrence C. Evans · Communications on Pure and Applied Mathematics · 1982 · 580 citations

Classical Solutions, Elliptic Equation, Nonlinear Functional Analysis +1

BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN

Mathematics of the USSR-Izvestiya · 1984 · 369 citations

Monge-ampere Equation, Elliptic Equation, Riemann-hilbert Problem +8