Orbital stability of standing waves for some nonlinear Schr�dinger equations

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

The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods

D. R. Hartree · Mathematical Proceedings of the Cambridge Philosophical Society · 1928 · 1.6K citations

Spectral Theory, Numerical Analysis, Quantum Dynamic +17

Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

Élliott H. Lieb · Studies in Applied Mathematics · 1977 · 1.2K citations

Spectral Theory, Elliptic Equation, Engineering +12

Self-Focusing of Optical Beams

Paul Kelley · Physical Review Letters · 1965 · 1.2K citations

Photonics, Optical Materials, October 1965Doi +11

Nonlinear scalar field equations, II existence of infinitely many solutions

Henri Berestycki, Pierre‐Louis Lions · Archive for Rational Mechanics and Analysis · 1983 · 759 citations

Monge-ampere Equation, Elliptic Equation, Nonlinear Equation +3