13 citations · 15 across the 4 of their papers we have counts for
11 papers
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger equations with sub-cubic nonlinearity
Hui Zhang, Zhisu liu, Chun-Lei Tang +1
In this paper, we consider the quasilinear Schrödinger equation \begin{equation*} -Δu+V(x)u-uΔ(u^2)=g(u),\ \ x\in \mathbb{R}^{3}, \end{equation*} where and are continuous f…
Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity
Zhisu Liu, Haijun Luo, Jianjun Zhang
In this paper, we consider the following Kirchhoff type equation where and $f\in C(\R,…
A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity
Zhisu Liu, Yijun Lou, Jianjun Zhang
By employing a novel perturbation approach and the method of invariant sets of descending flow, this manuscript investigates the existence and multiplicity of sign-changing solutio…
Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in
Zhisu Liu, Zigen Ouyang, Jianjun Zhang
We are concerned with sign-changing solutions of the following gauged nonlinear Schrödinger equation in dimension two including the so-called Chern-Simons term \begin{align*} \left…
Modulational stability of ground states to nonlinear Kirchhoff equations
Jianjun Zhang, Zhisu Liu, Marco Squassina
We investigate the stability of ground states to a nonlinear focusing Schrödinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator a…
Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two
Daniele Cassani, Hugo Tavares, Jianjun Zhang
We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems \begin{equation} \begin{cases} -Δu…