曲阜师范大学学报（自然科学版）2020，Vol.46Issue(3)：25-34,10.DOI:10.3969/j.issn.1001-5337.2020.3.025
带有一般位势的分数阶薛定谔-泊松系统Nehari-Pohozaev类型基态解的存在性
Existence of ground state solutions of Nehari-Pohozaev type for fractional Schr?dinger-Poisson systems with a general potential
刘珂 1杜新生1
作者信息
- 1. 曲阜师范大学数学科学学院,273165,山东省曲阜市
- 折叠
摘要
Abstract
In this paper,we consider the existence of ground state solutions to the following fractional Schr?dinger-Poisson systems with a general potential {(-Δ)su+V(x)u+φu=f(u), in ?3, (-Δ)tφ=u2, in ?3,where (-Δ)s and (-Δ)t denote the fractional Laplacian,0 <s ≤t < 1 and 2s +2t > 3,the potential V (x )is weakly differentiable and f ∈C (?,?).Under some assumptions on potential V (x )and f (u ),a nontrivial ground state solutions of Nehari-Pohozaev type (u ,φ)is established through using a subtle approach developed by Jeanjean and global compactness Lemma.关键词
分数阶薛定谔-泊松问题/Nehari-Pohozaev类型基态解/全局紧性引理Key words
Fractional Schrödinger-Poisson problem/ground state solution of Nehari-Pohozaev type/concentration compactness Lemma分类
数理科学引用本文复制引用
刘珂,杜新生..带有一般位势的分数阶薛定谔-泊松系统Nehari-Pohozaev类型基态解的存在性[J].曲阜师范大学学报（自然科学版）,2020,46(3):25-34,10.
