Equations involving fractional Laplacian operator: Compactness and application

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

Natural Sciences, Mathematics, Physics +14

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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

Natural Sciences, History, Differential Equations +8

An Extension Problem Related to the Fractional Laplacian

Communications in Partial Differential Equations · 2007 · 2.3K citations · Full text

Natural Sciences, Mathematics, Physics +11

An extension problem related to the fractional Laplacian

2006 · 2.1K citations

Natural Sciences, Mathematics, Physics +11

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