Vitaly Moroz

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

Vitaly Moroz, Jean Van Schaftingen · Journal of Functional Analysis · 2013 · 817 citations · Full text

Physics, Decay Asymptotics, Qualitative Properties +6

A guide to the Choquard equation

Vitaly Moroz · Cronfa (Swansea University) · 2017 · 430 citations

Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains

Vitaly Moroz, Jean Van Schaftingen · Journal of Differential Equations · 2013 · 92 citations · Full text

Choquard Equations, Monge-ampere Equation, Elliptic Equation +5

Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency

Carlo Mercuri, Vitaly Moroz, Jean Van Schaftingen · Calculus of Variations and Partial Differential Equations · 2016 · 88 citations · Full text

Physics, Nonlinear Wave Propagation, Radial Solutions +3

Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

Vitaly Moroz, Jean Van Schaftingen · Calculus of Variations and Partial Differential Equations · 2009 · 64 citations · Full text

Quantum Dynamic, Physics, Semiclassical Stationary States +6