纺织高校基础科学学报2017，Vol.30Issue(2)：194-199,6.DOI:10.13338/j.issn.1006-8341.2017.02.006
带有奇异性的Kirchhoff-Schr(o)dinger-Poisson系统解的唯一性
A uniqueness result for Kirchhoff-Schr(o)dinger-Poisson system with singularity
摘要
Abstract
The Kirchhoff-Schr(o)dinger-Poisson system with singularity is studied to obtain the uniqueness result of solution to the system.Firstly, the energy functional attains the global minimizer is proved.Secondly, the existence of the solution to the system is proved.However, because of the singular term, it cannot apply the critical point theory directly.The minimax method and monotone concergence theorem is used to prove.Finally, the uniqueness result of the solution is obtained.关键词
Kirchhoff-Schr(o)dinger-Poisson系统/奇异性/唯一性/极小极大值方法Key words
Kirchhoff-Schr(o)dinger-Poisson system/singularity/uniqueness/minimax method分类
数理科学引用本文复制引用
宋朝霞,黄永艳..带有奇异性的Kirchhoff-Schr(o)dinger-Poisson系统解的唯一性[J].纺织高校基础科学学报,2017,30(2):194-199,6.基金项目
国家自然科学基金资助项目(11301313,11571209) （11301313,11571209）
山西省高等学校科技创新基金项目(2015101,2015106) （2015101,2015106）
