Multiplicity of positive solutions for a singular and critical problem

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

Natural Sciences, Mathematics, Physics +14

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

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

On a dirichlet problem with a singular nonlinearity

Michael G. Crandall, Paul H. Rabinowitz, Luc Tartar · Communications in Partial Differential Equations · 1977 · 706 citations

Natural Sciences, Mathematics, Physics +12