3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2026
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…