Radial symmetry and monotonicity for an integral equation

Symmetry and related properties via the maximum principle

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

Symmetry Principles, Symmetry (Physics), Extremal Set Theory +2

Uniqueness of positive solutions of Δu−u+up=0 in Rn

Man Kam Kwong · Archive for Rational Mechanics and Analysis · 1989 · 1.3K citations

Spectral Theory, Elliptic Equation, Positive Solutions +2

Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Luis Caffarelli, Basilis Gidas, Joel Spruck · Communications on Pure and Applied Mathematics · 1989 · 1.3K citations

Monge-ampere Equation, Elliptic Equation, Potential Theory +5

Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities

Élliott H. Lieb · Annals of Mathematics · 1983 · 1K citations

Spectral Theory, Elliptic Equation, Sharp Constants +3

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

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

Monge-ampere Equation, Elliptic Equation, Positive Solutions +3