THE CONCENTRATION-COMPACTNESS PRINCIPLE IN NONLINEAR ELLIPTIC EQUATIONS

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

Existence of solitary waves in higher dimensions

Walter A. Strauss · Communications in Mathematical Physics · 1977 · 1.8K citations

Topological Soliton, Integrable System, Solitary Waves +1

The principle of symmetric criticality

Richard S. Palais · Communications in Mathematical Physics · 1979 · 1K citations

Symmetric Criticality, Criticality, Symmetry (Physics) +1

Nonlinear scalar field equations, II existence of infinitely many solutions

Henri Berestycki, Pierre‐Louis Lions · Archive for Rational Mechanics and Analysis · 1983 · 759 citations

Monge-ampere Equation, Elliptic Equation, Nonlinear Equation +3

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

Michaël Struwe · Mathematische Zeitschrift · 1984 · 744 citations

Elliptic Equation, Free Boundary Problem, Global Compactness Result +4