具有奇异项和双临界指数的分数阶Schrodinger-Poisson系统的多重正解  

Multiple Positive Solutions of Fractional Schr dinger-PoissonSystems with Singularity Terms and Double Critical Exponents

作　　者：朱泓洁 张家锋 ZHU Hong-jie;ZHANG Jia-feng(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《兰州文理学院学报（自然科学版）》2024年第6期10-19,共10页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金项目(11861021);贵州民族大学自然科学研究项目(GZ-MUZK[2022]YB06)。

摘　　要：研究了一类具有奇异项和双临界指数的分数阶Schrodinger-Poisson系统.通过扰动法解决了奇异项导致泛函在零点不可微的问题,并且利用非光滑泛函的临界点理论和山路引理,得到了该系统两个正解的存在性.In this paper,a class of fractional order Schr dinger-Poisson systems with singular terms and double critical exponents is considered.The problem that the singular term causes the functional to be nondifferentiable at zero is solved by a perturbation method,and the existence of two positive solutions of the system is obtained by using the critical point theory of non-smooth generalized functions and mountain lemma.

关 键 词：扰动法 非光滑泛函 临界点理论 山路引理 

分 类 号：O177.91[理学—数学]