Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate

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

Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Luis Caffarelli, Basilis Gidas, Joel Spruck · Communications on Pure and Applied Mathematics · 1989 · 1.3K citations

Natural Sciences, Earth Sciences, Dynamical Systems +13

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

Certain conditions for a Riemannian manifold to be isometric with a sphere

Morio Obata · Journal of the Mathematical Society of Japan · 1962 · 711 citations · Full text

Natural Sciences, Anatomy, Relativity +10