19 citations · 49 across the 8 of their papers we have counts for
10 papers
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…
Bifurcation from essential spectrum for an elliptic equation with general nonlinearity
Jianjun Zhang, Xuexiu Zhong, Huansong Zhou
In this paper, based on some prior estimates, we show that the essential spectrum is a bifurcation point for an superlinear elliptic equation with only local conditions, whic…
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}\|…
Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation
Helin Guo, Huan-Song Zhou
Let and be a coercive function in . We study the following constrained minimization problem on a suitable weighted Sobolev space : \…
Infinitely many solutions for a Schrodinger equation with sign-changing potential and nonlinear term
Long-Jiang Gu, Huan-Song Zhou
We propose a new variational approach to finding multiple critical points for strongly indefinite problems without assuming the weak upper semicontinuity on the variational functio…
Blow-up behavior of ground states for a nonlinear Schrödinger system with attractive and repulsive interactions
Yujin Guo, Xiaoyu Zeng, Huan-Song Zhou
We consider a nonlinear Schrödinger system arising in a two-component Bose-Einstein condensate (BEC) with attractive intraspecies interactions and repulsive interspecies interactio…