准线性薛定谔-泊松系统符号变化解的存在性和多重性

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2024-09-05 DOI:10.1080/17476933.2024.2372100

Xin Du, Chun-Lei Tang

引用次数: 0

摘要

在本文中，我们考虑了准线性薛定谔-泊松系统 {-Δu+V(x)u+ϕu-[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,-Δϕ=u2inR3, 其中 V 是给定的强制势，非线性包括...

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Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system

In this paper, we consider the quasilinear Schrödinger–Poisson system {−Δu+V(x)u+ϕu−[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,−Δϕ=u2inR3, where V is a given coercive potential and the nonlinearity include...

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.