含临界指标的周期渐近的分数阶Schr dinger-Poisson系统正解的存在性  

Existence of positive solutions for fractional order Schr dinger-Poisson systems with periodic asymptotic critical indices

作　　者：郭曼 王大斌[2] GUO Man;WANG Dabin(Department of Basic Education,Sichuan Vocational College of Information Technology,Guangyuan Sichuan 628000;Department of Applied Mathematics,Lanzhou University of Technology,Lanzhou Gansu 730050)

机构地区：[1]四川信息职业技术学院人文学院,四川广元628000 [2]兰州理工大学理学院,甘肃兰州730050

出　　处：《宁夏师范学院学报》2023年第4期12-26,共15页Journal of Ningxia Normal University

摘　　要：主要考察含临界非局部项的周期渐近的分数阶Schr dinger-Poisson系统解的存在性,通过运用山路定理和集中紧性原理,最终得到了正解的存在性.In this paper,we mainly consider the existence of solutions for the periodic asymptotic fractional order Schr dinger-Poisson system with critical nonlocal terms.By using the mountain pass theorem and concentration-compactness principle,we obtain the existence of a positive solution.

关 键 词：周期渐近Schr dinger-Poisson系统 分数阶Laplacian算子 正解 山路定理 集中紧性原理 

分 类 号：O175.12[理学—数学]