On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue

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

Critical point theorems for indefinite functionals

Vieri Benci, Paul H. Rabinowitz · Inventiones mathematicae · 1979 · 428 citations

Natural Sciences, Materials Science, Critical Theory +7

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

On the Dirichlet problem for weakly non-linear elliptic partial differential equations

E. N. Dancer · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1977 · 271 citations

Natural Sciences, Mathematics, Differential Equations +6

Saddle points and multiple solutions of differential equations

Herbert Amann · Mathematische Zeitschrift · 1979 · 200 citations

Natural Sciences, Mathematics, Differential Equations +14