Harmonic functions with nonlinear Neumann boundary condition and their Morse indices

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

Superlinear indefinite elliptic problems and nonlinear Liouville theorems

Henri Berestycki, Italo Capuzzo Dolcetta, Louis Nirenberg · Topological Methods in Nonlinear Analysis · 1994 · 234 citations · Full text

Natural Sciences, Mathematics, Physics +12

Morse index of some min‐max critical points. I. Application to multiplicity results

Abbas Bahri, Pierre‐Louis Lions · Communications on Pure and Applied Mathematics · 1988 · 184 citations

Computing, Geophysics, Critical Theory +11

Solutions of superlinear elliptic equations and their morse indices

Abbas Bahri, Pierre‐Louis Lions · Communications on Pure and Applied Mathematics · 1992 · 157 citations

Natural Sciences, Earth Sciences, Differential Equations +3

Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition

Bei Hu · Differential and Integral Equations · 1994 · 101 citations

Natural Sciences, Physics, Differential Equations +14