On a fourth order elliptic equation with critical nonlinearity in dimension six

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 Existence of Minimal Immersions of 2-Spheres

J. Sacks, Karen Uhlenbeck · Annals of Mathematics · 1981 · 886 citations

Natural Sciences, Mathematics, Geometry +8

A global compactness result for elliptic boundary value problems involving limiting nonlinearities

Michaël Struwe · Mathematische Zeitschrift · 1984 · 759 citations

Natural Sciences, Mathematics, Differential Equations +11

On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

Abbas Bahri, Jean‐Michel Coron · Communications on Pure and Applied Mathematics · 1988 · 759 citations

Natural Sciences, Mathematics, Physics +13

The role of the Green's function in a non-linear elliptic equation involving the critical Sobolev exponent

Olivier Rey · Journal of Functional Analysis · 1990 · 600 citations

Natural Sciences, Chemistry, Differential Equations +8