Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems

Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

Herbert Amann · SIAM Review · 1976 · 1.9K citations

Natural Sciences, Mathematics, Computational Mechanics +16

A symmetry problem in potential theory

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

Natural Sciences, Physics, Electromagnetism +11

A priori bounds for positive solutions of nonlinear elliptic equations

Basilis Gidas, Joel Spruck · Communications in Partial Differential Equations · 1981 · 846 citations

Engineering, Aerospace Engineering, Computational Fluid Dynamics +13

On the method of moving planes and the sliding method

Henri Berestycki, Louis Nirenberg · Bulletin of the Brazilian Mathematical Society New Series · 1991 · 697 citations

Natural Sciences, Mathematics, Dynamical Systems +2

The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

Henri Berestycki, Louis Nirenberg, S. R. S. Varadhan · Communications on Pure and Applied Mathematics · 1994 · 688 citations

Natural Sciences, Secondary Education, Finite Element Analysis +10