Zeng Liu

activity

20152024

most citedLimit profiles for singularly perturbed Choquard equations with local repulsion

10 citations · 30 across the 10 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

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…