7 papers
Existence of positive ground state solutions for the coupled Choquard system with potential
Jianqing Chen, Qian Zhang
In this paper, we study the following coupled Choquard system in : $$\left\{\begin{align}&-Δu+A(x)u=\frac{2p}{p+q} \bigl(I_α\ast |v|^q\bigr)|u|^{p-2}u,\\ &-Δv+B(x)v=\f…
Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system
Jianqing Chen, Qian Zhang
In this paper, we consider the quasilinear Schrödinger system in (): $$\left\{\begin{align} &-Δu+ A(x)u-\frac{1}{2}\triangle(u^{2})u=\frac{2α}{α+β}|u|^{α-2}u…
Existence of ground state solution of Nehari-Pohožaev type for a quasilinear Schrödinger system
Jianqing Chen, Qian Zhang
This paper is concerned with the following quasilinear Schrödinger system in the entire space (): $$\left\{\begin{align} &-Δu+A(x)u-\frac{1}{2}\triangle(u^{2…
Ground states solution of Nehari-Pohožaev type for periodic quasilinear Schrödinger system
Jianqing Chen, Qian Zhang
This paper is concerned with a quasilinear Schrödinger system in $$\left\{\aligned &-Δu+A(x)u-\frac{1}{2}\triangle(u^{2})u=\frac{2α}{α+β}|u|^{α-2}u|v|^β,\\ &-Δv+B(x…
A local pointwise inequality for a biharmonic equation with negative exponents
Fan Chen, Jianqing Chen, Qihua Ruan
In this paper, we are inspired by Ngô, Nguyen and Phan's [15] study of the pointwise inequality for positive -solutions of biharmonic equations with negative exponent by usi…
Instability of Standing Waves to the Inhomogeneous Nonlinear Schrödinger Equation with Harmonic Potential
Jianqing Chen, Yue Liu
We study the instability of standing-wave solutions to the inhomogeneous nonlinear Schrödinger equation $$iϕ_t=-\triangleϕ+|x|^2ϕ-|x|^b|ϕ|^{p-1}ϕ, \qquad \in\mathbb…
Orbital stability of standing wave solution for a quasilinear Schrödinger equation
Boling Guo, Jianqing Chen
Via minimization arguments and Concentration Compactness Principle, we prove the orbital stability of standing wave solutions for a class of quasilinear Schrödinger equation arisin…