5 papers
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*{…
Ground States of Nonlinear Fermionic Systems: From Power-Law Interactions to Logarithmic Sobolev Inequality
Bin Chen, Yujin Guo, Yong Luo +1
We consider ground states of a two-component logarithmic fermionic system in , where is arbitrary. We prove that up to translations and scalings, ground stat…
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=(…
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 , where the intraspecies interaction $(-a_1,-a_2)…