摘要
考虑带有奇异性的Kirchhoff-Schrdinger-Poisson系统,以获得该系统解的唯一性结果.首先证明能量泛函可以达到全局极小值,其次证明该系统解的存在性,而由于方程中存在奇异项,不能直接利用临界点理论,文章利用极小极大值方法以及单调收敛定理来进行证明,最后得到解的唯一性结果.
The Kirchhoff-Schrdinger-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.
出处
《纺织高校基础科学学报》
CAS
2017年第2期194-199,共6页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(11301313
11571209)
山西省高等学校科技创新基金项目(2015101
2015106)
