19 citations · 39 across the 6 of their papers we have counts for
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Uniqueness of Single Peak Solutions for Coupled Nonlinear Gross-Pitaevskii Equations with Potentials
Xiaoyu Zeng, Huan-Song Zhou
For a couple of singularly perturbed Gross-Pitaevskii equations, we first prove that the single peak solutions, if they concentrate on the same point, are unique provided that the…
A constrained minimization problem related to two coupled pseudo-relativistic Hartree equations
Wenqing Wang, Xiaoyu Zeng, Huan-Song Zhou
We are concerned with the following constrained minimization problem: $$e(a_{1},a_{2},β) := \inf\left\{E_{a_{1},a_{2},β}(u_{1},u_{2}): \|u_{1}\|_{L^{2}(\mathbb{R}^{3})} = \|u_{2}\|…
Existence and Uniqueness of Normalized Solutions for the Kirchhoff equation
Xiaoyu Zeng, Yimin Zhang
For a class of Kirchhoff functional, we first give a complete classification with respect to the exponent for its -normalized critical points, and show that the minimizer…
Existence and asymptotic behavior for the ground state of quasilinear elliptic equation
Xiaoyu Zeng, Yimin Zhang
In this paper, we are concerned with the existence and asymptotic behavior of minimizers for a minimization problem related to some quasilinear elliptic equations. Firstly, we prov…
Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials
Yujin Guo, Zhi-Qiang Wang, Xiaoyu Zeng +1
We are interested in the attractive Gross-Pitaevskii (GP) equation in , where the external potential vanishes on disjoint bounded domains $Ω_i\subset \R^2\ (i=1,2,…