摘要
本文研究非线性Schrodinger-Bopp-Podolsky系统,对系统中位势V和f作适当的假定下,结合变分方法和Lusternik-Schnirelman畴数理论,我们证明此方程多重解的存在性.此外,还证明当ε→0时,解uε(x)的极大值点集中在位势V的局部极小值.
This paper is devoted to consider the nonlinear Schrodinger-Bopp-Podolsky system.With proper assumptions about potential V and f,we will prove the existence of multiple solutions to the equation.In addition,it is proved that when ε→0,the maximum point of solution uε(x)is concentrated in the local minimum of potential V.
作者
刘林涛
滕凯民
LIU Lintao;TENG Kaimin(College of Mathematics,Taiyuan University of Technology,Jinzhong 030600,China)
出处
《应用数学》
CSCD
北大核心
2020年第4期869-885,共17页
Mathematica Applicata
基金
国家自然科学基金(11501403)
山西省留学回国择优项目(2018)。