Elliptic problems with critical exponents and Hardy potentials

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

Hardy Inequalities and Some Critical Elliptic and Parabolic Problems

J.P. Garcı́a Azorero, Ireneo Peral · Journal of Differential Equations · 1998 · 542 citations

Variational Inequality, Elliptic Equation, Hardy Inequalities +1

The Role Played by Space Dimension in Elliptic Critical Problems

Enrico Jannelli · Journal of Differential Equations · 1999 · 256 citations

Monge-ampere Equation, Elliptic Equation, Potential Theory +4

Existence of Solutions for Singular Critical Growth Semilinear Elliptic Equations

Alberto Ferrero, Filippo Gazzola · Journal of Differential Equations · 2001 · 240 citations

Elliptic Equation, Singularly Perturbed Problem, Elliptic Function +2