Yongshuai Gao

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20212023

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math.AP2023

Axial Symmetry and Refined Spike Profiles of Ground States for Rotating Two-Component Bose Gases

Yongshuai Gao, Yong Luo

This paper considers ground states of two-component Bose gases confined in an anharmonic trap rotating at the velocity $0 < Ω < \infty$ , where the intraspecies interaction $(-a_1,-a_2)…

math.AP2021

Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations

Yongshuai Gao, Yong Luo

This paper considers ground states of mass subcritical rotational nonlinear Schrödinger equation \begin{equation*} -Δu+V(x)u+iΩ(x^\perp\cdot\nabla u)=μu+ρ^{p-1}|u|^{p-1}u \,\ \text…

math.AP2021

Minimizers of $L^{2}$ -Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity

Yongshuai Gao, Yujin Guo, Shuang Wu

We study the minimizers of $L^{2}$ -subcritical inhomogeneous variational problems with spatially decaying nonlinear terms, which contain $x = 0$ as a singular point. The limit concen…

Axial Symmetry and Refined Spike Profiles of Ground States for Rotating Two-Component Bose Gases

Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations

Minimizers of L2-Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity

Minimizers of $L^{2}$ -Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity