43 citations · 62 across the 10 of their papers we have counts for
5 papers · 2 filters
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…