12 citations · 12 across the 3 of their papers we have counts for
5 papers
Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations
Haoyu Li, Zhi-Qiang Wang
We investigate the structure of nodal solutions for coupled nonlinear Schrödinger equations in the repulsive coupling regime. Among other results, for the following coupled system…
Equilibrium Index of Invariant Sets and Global Static Bifurcation for Nonlinear Evolution Equations
Desheng Li, Zhi-qiang Wang
We introduce the notion of equilibrium index for statically isolated invariant sets of the system on Banach space (where is a sectorial operator with compa…
A quasilinear Schrödinger equation with Hartree type nonlinearity
Xianfa Song, Zhi-Qiang Wang
In this paper, we deal with the Cauchy problem of the quasilinear Schödinger equation \begin{equation*} \left\{ \begin{array}{lll} iu_t=Δu+2uh'(|u|^2)Δh(|u|^2)+(W(x)\ast|u|^2)u,\ x…
Limit Behavior of Mass Critical Hartree Minimization Problems with Steep Potential Wells
Yujin Guo, Yong Luo, Zhi-Qiang Wang
We consider minimizers of the following mass critical Hartree minimization problem: \[ e_λ(N):=\underset{\{u\in H^1(R^d),\,\|u\|^2_2=N\}}{\inf} E_λ(u),\,\ d\ge 3, \] where the Hart…
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,…