Super poly-harmonic property of solutions for Navier boundary problems on a half space

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

A symmetry problem in potential theory

James Serrin · Archive for Rational Mechanics and Analysis · 1971 · 1.3K citations

Natural Sciences, Physics, Electromagnetism +11

Global and local behavior of positive solutions of nonlinear elliptic equations

Basilis Gidas, Joel Spruck · Communications on Pure and Applied Mathematics · 1981 · 1.3K citations

Natural Sciences, Mathematics, Differential Equations +11

Symmetry of positive solutions of nonlinear elliptic equations in R^n

Basilis Gidas · Medical Entomology and Zoology · 1981 · 1K citations

Natural Sciences, Aerospace Engineering, Differential Equations +8

Classification of solutions of some nonlinear elliptic equations

Wenxiong Chen, Congming Li · Duke Mathematical Journal · 1991 · 996 citations

Natural Sciences, Mathematics, Differential Equations +8