most citedExistence and asymptotics of normalized solutions for logarithmic Schrödinger system

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6 papers

math.AP20231 cited

Existence and asymptotics of normalized solutions for logarithmic Schrödinger system

Qian Zhang, Wenming Zou

This paper is concerned with the following logarithmic Schrödinger system: $$\left\{\begin{align} \ &\ -Δu_1+ω_1u_1=μ_1 u_1\log u_1^2+\frac{2p}{p+q}|u_2|^{q}|u_1|^{p-2}u_1,\\ \ &\…

math.AP2023

Existence and concentration of ground state solution to a nonlocal Schrödinger equation

Anmin Mao, Qian Zhang

We study a class of Schrödinger-Kirchhoff system involving critical exponent. We aim to find suitable conditions to assure the existence of a positive ground state solution of Neha…

math.AP2023

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…

math.AP2023

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…

math.AP2023

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…

math.AP2023

Global solutions of 2-D cubic Dirac equation with non-compactly supported data

Qian Zhang

We are interested in the cubic Dirac equation in two space dimensions. We establish the small data global existence and sharp pointwise decay results for general cubic nonlineariti…