典型文献
LOCALIZED NODAL SOLUTIONS FOR SCHR(O)DINGER-POISSON SYSTEMS
文献摘要：
In this paper,we study the existence of localized nodal solutions for Schr?dinger-Poisson systems with critical growth{-ε2 Δv+V(x)v+λψv=v5+μ|v|q-2v,in R3,-ε2Δψ=v2,in R3;v(x)→0,ψ(x)→ 0 as |x|→∞We establish,for small ε,the existence of a sequence of localized nodal solutions concentrating near a given local minimum point of the potential function via the perturbation method,and employ some new analytical skills to overcome the obstacles caused by the nonlocal termφu(x)=1/4π ∫R3 u2(y)/|x-y| dy.Our results improve and extend related ones in the literature.
文献关键词：
中图分类号：
作者姓名：
Xing WANG;Rui HE;Xiangqing LIU
作者机构：
Department of Mathematics,Yunnan Normal University,Kunming 650500,China
文献出处：
引用格式：
[1]Xing WANG;Rui HE;Xiangqing LIU-.LOCALIZED NODAL SOLUTIONS FOR SCHR(O)DINGER-POISSON SYSTEMS)[J].数学物理学报（英文版）,2022(05):1947-1970
A类：
LOCALIZED,NODAL,SCHR,DINGER,POISSON,SYSTEMS,v+V,v+,v5+
B类：
SOLUTIONS,FOR,In,this,paper,we,study,existence,localized,nodal,solutions,Schr,dinger,Poisson,systems,critical,growth,2v,R3,v2,as,We,establish,small,sequence,concentrating,near,given,minimum,point,potential,function,via,perturbation,method,employ,some,new,analytical,skills,overcome,obstacles,caused,by,nonlocal,term,u2,Our,results,improve,extend,related,ones,literature
AB值：
0.597456
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
