43 citations · 62 across the 10 of their papers we have counts for
12 papers
Cubic Nonlinear Schrödinger Systems and Orthonormal Fermionic Ground States in
Bin Chen, Yujin Guo, Yong Luo +1
We study the one-dimensional nonlinear Schrödinger system \[ -u_i''-2\Big(\sum_{k=1}^N u_k^2\Big)^{p-1}u_i=μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \tag{S} \] where…
Uniqueness of Bound States for Double-Power Scalar Field Equations
Yujin Guo, Wei Ji, Yong Luo
We study the uniqueness of bound states for the following scalar field equation $$ -Δu+u=-\varepsilon |u|^{q-1}u+|u|^{p-1}u \,\ \ \mbox{in}\,\ \mathbb R^N, \,\ \varepsilon>0,\tag*{…
Complete Classification and Nondegeneracy of -Component Cubic Nonlinear Schrödinger System in
Yujin Guo, Yong Luo, Juncheng Wei
We study the one-dimensional cubic nonlinear Schrödinger system \[ u_i''+2\left(\sum_{k=1}^N u_k^2\right)u_i=-μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \] where $u=(…
Ground States of One-Dimensional Fermionic Schrödinger Systems Near a Critical Exponent
Bin Chen, Yujin Guo, Yong Luo +1
We study ground states of the fermionic nonlinear Schrödinger system in , where denotes a polynomial exponent of the nonlinear term. It is known that the system…
Ground States of Attractive Fermi Schrödinger Systems with Ring-Shaped Potentials
Yujin Guo, Yan Li, Shuang Wu
As an application of the finite-rank Lieb-Thirring inequality established in [R. L. Frank, D. Gontier and M. Lewin, Comm. Math. Phys., 2021], we study ground states of mass-critica…
Classification and Nondegeneracy of Cubic Nonlinear Schrödinger System in
Yujin Guo, Yong Luo, Juncheng Wei
We study the following one-dimensional cubic nonlinear Schrödinger system: \[ u_i''+2\Big(\sum_{k=1}^Nu_k^2\Big)u_i=-μ_iu_i \ \,\ \mbox{in}\, \ \mathbb{R} , \ \ i=1, 2, \cdots, N,…
Axial Symmetry of Normalized Solutions for Magnetic Gross-Pitaevskii Equations with Anharmonic Potentials
Yujin Guo, Yan Li, Yong Luo +1
This paper is concerned with normalized solutions of the magnetic focusing Gross-Pitaevskii equations with anharmonic potentials in , where or . We construct…
Ground States of Attractive Bose Gases in Rotating Anharmonic Traps
Yujin Guo, Yan Li, Yong Luo
This paper is concerned with ground states of attractive Bose gases confined in an anharmonic trap rotating at the velocity , where denotes the tr…
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…
Local Uniqueness of Ground States for Rotating Bose-Einstein Condensates with Attractive Interactions
Yujin Guo, Yong Luo, Shuangjie Peng
We study ground states of two-dimensional Bose-Einstein condensates with attractive interactions in a trap rotating at the velocity . It is known that there exist a criti…
The Nonexistence of Vortices for Rotating Bose-Einstein Condensates with Attractive Interactions
Yujin Guo, Yong Luo, Wen Yang
This article is devoted to studying the model of two-dimensional attractive Bose-Einstein condensates in a trap rotating at the velocity . This model can be described by…
Limit Behavior of Mass Critical Hartree Minimization Problems with Steep Potential Wells
Yujin Guo, Yong Luo, Zhi-Qiang Wang
We consider minimizers of the following mass critical Hartree minimization problem: \[ e_λ(N):=\underset{\{u\in H^1(R^d),\,\|u\|^2_2=N\}}{\inf} E_λ(u),\,\ d\ge 3, \] where the Hart…