Best constant in Sobolev trace inequalities on the half-space

Symmetry and related properties via the maximum principle

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

Natural Sciences, Mathematics, Physics +14

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

Polar factorization and monotone rearrangement of vector‐valued functions

Yann Brenier · Communications on Pure and Applied Mathematics · 1991 · 1.7K citations

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Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality

William Beckner · Annals of Mathematics · 1993 · 712 citations

Natural Sciences, Physics, Geography Of Inequality +10

Quasilinear elliptic equations involving critical Sobolev exponents

Mohammed Guedda · Nonlinear Analysis · 1989 · 535 citations

Natural Sciences, History, Condensed Matter Physics +9