Shihui Zhu

activity

20172022

most citedSharp Criteria of Scattering for the Fractional NLS

2 citations · 3 across the 3 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AP2019

Orbital Stability of Standing Waves for Fractional Hartree Equation with Unbounded Potentials

Jian Zhang, Shijun Zheng, Shihui Zhu

We prove the existence of the set of ground states in a suitable energy space $Σ^{s} = {u : \int_{R^{N}} u ˉ (- Δ + m^{2})^{s} u + V ∣ u ∣^{2} < \infty}$ , $s \in (0, \frac{N}{2})$ for the ma…

math.AP2019

Orbital Stability of Standing Waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions

Tingjian Luo, Shijun Zheng, Shihui Zhu

In this paper, we study the ground state standing wave solutions for the focusing bi-harmonic nonlinear Schrödinger equation with a $μ$ -Laplacian term (BNLS). Such BNLS models the…