Positive solutions of asymptotically linear equations via Pohozaev manifold

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.3K citations

Numerical Analysis, Engineering, Variational Analysis +3

Nonlinear scalar field equations, I existence of a ground state

Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis · 1983 · 2.5K citations

Elliptic Equation, Global Analysis, Nonlinear Equation +3

Existence of solitary waves in higher dimensions

Walter A. Strauss · Communications in Mathematical Physics · 1977 · 1.8K citations

Topological Soliton, Integrable System, Solitary Waves +1

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Élliott H. Lieb · Proceedings of the American Mathematical Society · 1983 · 1.2K citations

Functional Analysis

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

Paolo Bartolo, Vieri Benci, Donato Fortunato · Nonlinear Analysis · 1983 · 780 citations

Elliptic Equation, Nonlinear Problems, Nonlinear Resonance +1