Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space

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

The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1

Pierre‐Louis Lions · Revista Matemática Iberoamericana · 1985 · 1.4K citations · Full text

Natural Sciences, Mathematics, Differential Equations +12

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

A sharp form of an inequality by N. Trudinger

J. Moser · Indiana University Mathematics Journal · 1971 · 966 citations

Social Sciences, History, Social Inequality +2