Vitaly Moroz

activity

20032024

most citedGroundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

890 citations · 3k across the 39 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.AP2015★ 57 cited

Least action nodal solutions for the quadratic Choquard equation

Marco Ghimenti, Vitaly Moroz, Jean Van Schaftingen

We prove the existence of a minimal action nodal solution for the quadratic Choquard equation $- Δ u + u = (I_{α} * ∣ u ∣^{2}) u in R^{N},$ where $I_{α}$ is…

math.AP2015★ 95 cited

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

Carlo Mercuri, Vitaly Moroz, Jean Van Schaftingen

We study the nonlocal Schrödinger-Poisson-Slater type equation $- Δ u + (I_{α} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u = ∣ u ∣^{q - 2} u in R^{N},$ where $N \in N$ , $p > 1$ ,…