2 citations · 4 across the 6 of their papers we have counts for
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On existence and stability results for normalized ground states of mass-subcritical biharmonic NLS on
Hichem Hajaiej, Yongming Luo, Linjie Song
We study the focusing mass-subcritical biharmonic nonlinear Schrödinger equation (BNLS) on the product space . Following the crucial scaling arg…
Normalized ground states for 3D dipolar Bose-Einstein condensate with attractive three-body interactions
Yongming Luo, Athanasios Stylianou
We study the existence of normalized ground states for the 3D dipolar Bose-Einstein condensate equation with attractive three-body interactions: \begin{align}\label{1} -Δu+βu+λ_1|u…
Large data global well-posedness and scattering for the focusing cubic nonlinear Schrödinger equation on
Yongming Luo
We consider the focusing cubic nonlinear Schrödinger equation \begin{align}\label{CNLSS} i\partial_t U+ΔU=-|U|^2U\quad\text{on }.\tag{3NLS} \end{align…
On sharp scattering threshold for the mass-energy double critical NLS via double track profile decomposition
Yongming Luo
The present paper is concerned with the large data scattering problem for the mass-energy double critical NLS \begin{align} i\partial_t u+Δu\pm |u|^{\frac{4}{d}}u\pm |u|^{\frac{4}{…
On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions
Yongming Luo, Athanasios Stylianou
We study the following nonlocal mixed order Gross-Pitaevskii equation where i…
Ground states for a nonlocal cubic-quartic Gross-Pitaevskii equation
Yongming Luo, Athanasios Stylianou
We prove existence and qualitative properties of ground state solutions to a generalized nonlocal 3rd-4th order Gross-Pitaevskii equation. Using a mountain pass argument on spheres…