On the existence of a nontrivial solution to nonlinear problems at resonance

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

Preliminary communication

A. C. Lazer, Sergio Solimini · Nonlinear Analysis · 1986 · 124 citations

Nontrivial solutions of operator equations and Morse indices of critical points of min-max type

A. C. Lazer, Sergio Solimini · Nonlinear Analysis · 1988 · 120 citations

Natural Sciences, Prosthodontics, Critical Theory +11

On the use of asymptotics in nonlinear boundary value problems

E. N. Dancer · Annali di Matematica Pura ed Applicata (1923 -) · 1982 · 76 citations · Full text

Natural Sciences, Mathematics, Physics +11

On the solvability of some elliptic partial differential equations with the linear part at resonance

Sergio Solimini · Journal of Mathematical Analysis and Applications · 1986 · 67 citations

Natural Sciences, Mathematics, Physics +12