Yong Luo

activity

20232026

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3 papers · 1 filter

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 $J_{2} (p)$ in $R$ , where $p > 1$ denotes a polynomial exponent of the nonlinear term. It is known that the system…

math.AP2024

Classification and Nondegeneracy of Cubic Nonlinear Schrödinger System in $R$

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,…

math.AP2023

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 $R^{N}$ , where $N = 2$ or $3$ . We construct…

Ground States of One-Dimensional Fermionic Schrödinger Systems Near a Critical Exponent

Classification and Nondegeneracy of Cubic Nonlinear Schrödinger System in R

Axial Symmetry of Normalized Solutions for Magnetic Gross-Pitaevskii Equations with Anharmonic Potentials

Classification and Nondegeneracy of Cubic Nonlinear Schrödinger System in $R$