The Role Played by Space Dimension in Elliptic Critical Problems

Symmetry and related properties via the maximum principle

Basilis Gidas, Wei‐Ming Ni, Louis Nirenberg · Communications in Mathematical Physics · 1979 · 2.9K 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

BIow-up solutions of some nonlinear elliptic problems

Haïm Brézis · Revista Matemática Complutense · 1997 · 509 citations · Full text

Natural Sciences, Mathematics, Physics +8

Critical exponents, critical dimensions and the biharmonic operator

D. E. Edmunds, Donato Fortunato, Enrico Jannelli · Archive for Rational Mechanics and Analysis · 1990 · 204 citations

Natural Sciences, Physics, Condensed Matter Physics +13

Critical semilinear biharmonic equations in R^N

Ezzat S. Noussair, Charles A. Swanson, Jianfu Yang · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1992 · 51 citations

Natural Sciences, Literature, Critical Theory +6