On a variational problem with lack of compactness: the topological effect of the critical points at infinity

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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

Monge-ampere Equation, Elliptic Equation, Positive Solutions +3

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

Dirichlet Form, Engineering, Variational Analysis +11

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

Pierre‐Louis Lions · Revista Matemática Iberoamericana · 1985 · 1.3K citations · Full text

Dirichlet Form, Part 1, Engineering +11

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

Monge-ampere Equation, Elliptic Equation, Potential Theory +5

Conformal deformation of a Riemannian metric to constant scalar curvature

Richard Schoen · Journal of Differential Geometry · 1984 · 1.3K citations · Full text

Conformal Deformation, Global Geometry, Geometric Partial Differential Equation +6