Ground state solutions of Pohozaev type and Nehari type for a class of nonlinear Choquard equations

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

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

Élliott H. Lieb · Studies in Applied Mathematics · 1977 · 1.3K citations

Natural Sciences, Mathematics, Physics +9

Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics

Vitaly Moroz, Jean Van Schaftingen · Journal of Functional Analysis · 2013 · 871 citations · Full text

Natural Sciences, Mathematics, Physics +10

The Choquard equation and related questions

Pierre‐Louis Lions · Nonlinear Analysis · 1980 · 638 citations

Natural Sciences, Mathematics, Physics +4

Classification of Positive Solitary Solutions of the Nonlinear Choquard Equation

Li Ma, Lin Zhao · Archive for Rational Mechanics and Analysis · 2009 · 581 citations

Natural Sciences, Mathematics, Applied Mathematics +10