2 citations · 2 across the 9 of their papers we have counts for
15 papers
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…
Rigidity theorems for minimal Lagrangian surfaces with Legendrian capillary boundary
Yong Luo, Linlin Sun
In this note, we study minimal Lagrangian surfaces in with Legendrian capillary boundary on . On the one hand, we prove that any minimal Lagrangian sur…
A new characterization of the Calabi torus in the unit sphere
Yong Luo, Linlin Sun, Jiabin Yin
In this paper, we study the rigidity theorem of closed minimally immersed Legendrian submanifolds in the unit sphere. Utilizing the maximum principle, we obtain a new characterizat…