On some nonlinear elliptic PDEs with Sobolev–Hardy critical exponents and a Li–Lin open problem

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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

Natural Sciences, History, Differential Equations +8

The Concentration-Compactness Principle in the Calculus of Variations. The Limit Case, Part 2

Pierre-Louis Lions · Revista Matemática Iberoamericana · 1985 · 1.7K citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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

Natural Sciences, Materials Science, Functional Decline +8

Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities

Élliott H. Lieb · Annals of Mathematics · 1983 · 1.1K citations

Natural Sciences, Audiology, Acoustics +9

First order interpolation inequalities with weights

Luis Caffarelli, Robert V. Kohn, Louis Nirenberg · French digital mathematics library (Numdam) · 1984 · 949 citations

Natural Sciences, Mathematics, Optimization +4