13 citations · 42 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
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…
Global existence, blowup phenomena, and asymptotic behavior for quasilinear Schrödinger equations
Xiaowei An, Xianfa Song
In this paper, we study the Cauchy problem of the quasilinear Schrödinger equation \begin{equation*} \left\{ \begin{array}{lll} iu_t=Δu+2uh'(|u|^2)Δh(|u|^2)+F(|u|^2)u \quad {\rm fo…
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,…
Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
Zhaoli Liu, Zhi-Qiang Wang, Jianjun Zhang
We investigate the existence of multiple bound state solutions, in particular sign-changing solutions. By using the method of invariant sets of descending flow, we prove that this…
Bifurcations for a Coupled Schrödinger System with Multiple Components
Thomas Bartsch, Rushun Tian, Zhi-Qiang Wang
In this paper, we study local bifurcations of an indefinite elliptic system with multiple components: \begin{equation*} \left\{\begin{array}{ll} -Δu_j + au_j = μ_ju_j^3+β\sum_{k\ne…
Multiple normalized solutions for quasi-linear Schrödinger equations
Louis Jeanjean, Tingjian Luo, Zhi-Qiang Wang
In this paper we prove the existence of two solutions having a prescribed -norm for a quasi-linear Schrödinger equation. One of these solutions is a mountain pass solution rel…