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 2021 · math.APShow all

4 papers · 2 filters

math.AP2021

Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity

Shiwang Ma, Vitaly Moroz

We study asymptotic behaviour of positive ground state solutions of the nonlinear Schrödinger equation $- Δ u + u = u^{2^{*} - 1} + λ u^{q - 1} in R^{N},$ where $N\ge…

math.AP2021★ 10 cited

Limit profiles for singularly perturbed Choquard equations with local repulsion

Zeng Liu, Vitaly Moroz

We study Choquard type equation of the form $- Δ u + ε u - (I_{α} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u + ∣ u ∣^{q - 2} u = 0 in R^{N}, (P_{ε})$ where $N \geq 3$ , $I_{α}$ …

math.AP2021

Nonlinear Inequalities with Double Riesz Potentials

Marius Ghergu, Zeng Liu, Yasuhito Miyamoto +1

We investigate the nonnegative solutions to the nonlinear integral inequality $u \geq I_{α} * ((I_{β} * u^{p}) u^{q})$ a.e. in $R^{N}$ , where $α, β \in (0, N)$ , $p, q > 0$ and…

math.AP2021

Polyharmonic inequalities with nonlocal terms

Marius Ghergu, Yasuhito Miyamoto, Vitaly Moroz

We study the existence and non-existence of classical solutions for inequalities of type $$ \pm Δ^m u \geq \big(Ψ(|x|)*u^p\big)u^q \quad\mbox{ in } {\mathbb R}^N (N\geq 1). $$ Here…