2 citations · 2 across the 12 of their papers we have counts for
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Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations
Yongshuai Gao, Yong Luo
This paper considers ground states of mass subcritical rotational nonlinear Schrödinger equation \begin{equation*} -Δu+V(x)u+iΩ(x^\perp\cdot\nabla u)=μu+ρ^{p-1}|u|^{p-1}u \,\ \text…
On energy gap phenomena of the Whitney spheres in or
Yong Luo, Liuyang Zhang
In \cite{Zh} \cite{LY} Zhang, Luo and Yin initiated the study of Lagrangian submanifolds satisfying or in or $\mathb…
Concentration Behavior of Ground States for -Critical Schrödinger Equation with a Spatially Decaying Nonlinearity
Yong Luo, Shu Zhang
We consider the following time-independent nonlinear -critical Schrödinger equation \[ -Δu(x)+V(x)u(x)-a|x|^{-b}|u|^{1+\frac{4-2b}{N}}=μu(x)\,\ \hbox{in}\,\ \mathbb{R}^N, \] w…
Existence and Asymptotic Behavior of Ground States for Rotating Bose-Einstein Condensates
Yujin Guo, Yong Luo, Shuangjie Peng
We study ground states of two-dimensional Bose-Einstein condensates with repulsive () or attractive () interactions in a trap rotating at the velocity . It is…
On -dimensional complete self-similar solutions to the mean curvature flow in with nonnegative constant scalar curvature
Yong Luo, Linlin Sun, Jiabin Yin
As is well known, self-similar solutions to the mean curvature flow, including self-shrinkers, translating solitons and self-expanders, arise naturally in the singularity analysis…