Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity

Paolo Bartolo, Vieri Benci, Donato Fortunato · Nonlinear Analysis · 1983 · 791 citations

Natural Sciences, Mathematics, Differential Equations +14

Remarks on finding critical points

Haïm Brézis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1991 · 406 citations

Natural Sciences, Geophysics, Critical Theory +8

Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

Herbert Amann, Edward J. Zehnder · French digital mathematics library (Numdam) · 1980 · 314 citations

Natural Sciences, Mathematics, Computational Electromagnetics +13

Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

Thomas Bartsch, Shujie Li · Nonlinear Analysis · 1997 · 303 citations

Natural Sciences, Physics, Dynamical Systems +12

On differentiable functions with isolated critical points

Detlef Gromoll, Wolfgang Meyer · Topology · 1969 · 277 citations

Natural Sciences, Emergency Medical Services, Differential Equations +8