分数阶SchrÖdinger-Poisson系统正束缚态解的存在性
Existence of Positive Bound State Solutions for Fractional SchrÖdinger-Poisson System
DOI: 10.12677/AAM.2020.99177, PDF,    国家自然科学基金支持
作者: 闫云霞, 滕凯民：太原理工大学数学学院，山西 晋中；崔艳丽：防空兵学院郑州校区教学考评中心，河南 郑州
关键词: 分数阶SchrÖdinger-Poisson系统；变分法；束缚态解；Fractional SchrÖdinger-Poisson System； Variational Methods； Bound State Solutions
摘要: 本文研究如下分数阶Schrödinger-Poisson系统
Abstract: 其中s,t∈(0,1)，2s+2t>3，p∈(3,5)。在位势满足适当假设下，我们采用Nehari流形方法及结合形变讨论证明了正束缚态解的存在性。 This paper is to deal with the following fractional Schrödinger-Poisson system where s,t∈(0,1), 2s+2t>3, p∈(3,5). Under some suitable assumptions for the potentials, we prove the existence of positive bound state solutions by using the Nehari manifold method combining with the deformation argument.
文章引用：闫云霞, 滕凯民, 崔艳丽. 分数阶SchrÖdinger-Poisson系统正束缚态解的存在性[J]. 应用数学进展, 2020, 9(9): 1508-1521. https://doi.org/10.12677/AAM.2020.99177

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