Positive and sign-changing solutions of a Schrödinger–Poisson system involving a critical nonlinearity

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

Louis Nirenberg · Communications on Pure and Applied Mathematics · 1983 · 2.9K citations

Monge-ampere Equation, Elliptic Equation, Positive Solutions +3

Regularity for a more general class of quasilinear elliptic equations

Peter Tolksdorf · Journal of Differential Equations · 1984 · 1.5K citations

Monge-ampere Equation, Elliptic Equation, Quasilinear Elliptic Equations +4

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Élliott H. Lieb · Proceedings of the American Mathematical Society · 1983 · 1.2K citations

Functional Analysis

C1 + α local regularity of weak solutions of degenerate elliptic equations

Emmanuele DiBenedetto · Nonlinear Analysis · 1983 · 1.1K citations

Degenerate Elliptic Equations, Elliptic Equation, Elliptic Function +4

On harnack type inequalities and their application to quasilinear elliptic equations

Neil S. Trudinger · Communications on Pure and Applied Mathematics · 1967 · 756 citations

Elliptic Equation, Elliptic Function, Harnack Type Inequalities +4