Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev–Hardy exponents and concave–convex nonlinearities

On the variational principle

Ivar Ekeland · Journal of Mathematical Analysis and Applications · 1974 · 2.3K citations · Full text

Natural Sciences, Mathematics, Physics +10

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

Pierre‐Louis Lions · Revista Matemática Iberoamericana · 1985 · 1.4K citations · Full text

Natural Sciences, Mathematics, Differential Equations +12

A Strong Maximum Principle for some quasilinear elliptic equations

Juan-Luis V�zquez · Applied Mathematics & Optimization · 1984 · 1.2K citations

Natural Sciences, Mechanical Engineering, Finite Element Methods +11

Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

Antonio Ambrosetti, Haïm Brézis, G. Cerami · Journal of Functional Analysis · 1994 · 1.1K citations

Natural Sciences, Mathematics, Optimization +11