Neumann problems of semilinear elliptic equations involving critical Sobolev exponents

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

Natural Sciences, Mechanical Engineering, Differential Equations +10

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

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Haïm Brézis, Élliott H. Lieb · Proceedings of the American Mathematical Society · 1983 · 1.2K citations

Natural Sciences, Materials Science, Functional Decline +8

Large amplitude stationary solutions to a chemotaxis system

Chang‐Shou Lin, Wei Ni, Izumi Takagi · Journal of Differential Equations · 1988 · 698 citations

Natural Sciences, Mathematics, Differential Equations +13