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

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Showing 2022Show all

3 papers · 1 filter

math.AP2022

Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity

Shiwang Ma, Vitaly Moroz

We study asymptotic behavior of positive ground state solutions of the nonlinear Kirchhoff equation $$ -\Big(a+b\int_{\mathbb R^N}|\nabla u|^2\Big)Δu+ λu= u^{q-1}+ u^{p-1} \quad {\…

math.AP2022

Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities

Fashun Gao, Vitaly Moroz, Minbo Yang +1

In this paper, we study a class of the critical Choquard equations with axisymmetric potentials, $$ -Δu+ V(|x'|,x'')u =\Big(|x|^{-4}\ast |u|^{2}\Big)u\hspace{4.14mm}\mbox{in}\hspac…

math.AP2022★ 5 cited

Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation

Zeng Liu, Vitaly Moroz

We study the Schrödinger-Poisson-Slater equation $- Δ u + u + λ (I_{2} * ∣ u ∣^{2}) u = ∣ u ∣^{p - 2} u in R^{3},$ where $p \in (3, 6)$ and $λ > 0$ . By using direct variational analy…