Sign -changing solutions for nonlinear Schr?dinger?Poisson systems with subquadratic or quadratic growth at infinity

被引：17
作者：
Gu, Lihua [1 ,2 ]
Jin, Hua [3 ]
Zhang, Jianjun [1 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
[2] Chongqing City Management Coll, Chongqing 401331, Peoples R China
[3] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 198卷
关键词：
SCHRODINGER-POISSON SYSTEM; GROUND-STATE SOLUTIONS; NODAL SOLUTIONS; SOLITARY WAVES; BOUND-STATES; EXISTENCE; EQUATION;
D O I：
10.1016/j.na.2020.111897
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to investigating the existence of sign-changing solutions to the following Schrödinger–Poisson system −Δu+V(x)u+λϕu=f(u)inR3,−Δϕ=u2inR3,where λ>0 and f is subquadratic or quadratic at infinity. By using the method of invariant sets of descending flow, we prove that the problem above admits multiple radial sign-changing solutions in the subquadratic case as λ small. As for the quadratic case, by virtue of a perturbation argument, we show that this problem admits at least one sign-changing solution as λ small. © 2020 Elsevier Ltd
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页数：16
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