Orbital stability of solitary waves for derivative nonlinear Schrödinger equation

Nonlinear scalar field equations, I existence of a ground state

Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis · 1983 · 2.6K citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

Nonlinear Schr�dinger equations and sharp interpolation estimates

Michael I. Weinstein · Communications in Mathematical Physics · 1983 · 1.4K citations

Natural Sciences, Mathematics, Differential Equations +5

Nonlinear scalar field equations

W. Rother · Differential and Integral Equations · 1992 · 599 citations · Full text

Natural Sciences, Mathematics, Physics +12

Description of the lack of compactness for the Sobolev imbedding

Patrick Gérard · ESAIM Control Optimisation and Calculus of Variations · 1998 · 223 citations · Full text

Natural Sciences, German, Representation Theory +8

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

J. Colliander, M. Keel, G. Staffilani et al. · SIAM Journal on Mathematical Analysis · 2002 · 210 citations

Natural Sciences, Mathematics, Physics +15