Yan Li

collaborators

3 papers

math-ph2022

Existence and Uniqueness of Constraint Minimizers for the Planar Schrodinger-Poisson System with Logarithmic Potentials

Yujin Guo, Wenning Liang, Yan Li

In this paper, we study constraint minimizers $u$ of the planar Schrödinger-Poisson system with a logarithmic convolution potential $ln ∣ x ∣ * u^{2}$ and a logarithmic external pot…

math-ph2022

Nonexistence of Vortices for Rotating Two-Component Focusing Bose Gases

Yongshuai Gao, Yujin Guo, Yan Li +1

This paper is concerned with ground states of two-component Bose gases confined in a harmonic trap $V (x) = x_{1}^{2} + Λ^{2} x_{2}^{2}$ rotating at the velocity $Ω > 0$ , where $Λ \geq 1$ and $(x_1,…

math.AP2022

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 $V (x) = ω (∣ x ∣^{2} + k ∣ x ∣^{4})$ rotating at the velocity $Ω > 0$ , where $ω > 0$ denotes the tr…