Ground state solutions for a class of Schrodinger-Poisson systems with Hartree-type nonlinearity

被引：4

作者：

Xie, Weihong ^{[1
]}

Chen, Haibo ^{[1
]}

Wu, Tsung-Fang ^{[2
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China

[2] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung, Taiwan

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Daomin Cao; Ground state; Schrodinger-Poisson equations; Pohozaev type identity; Nehari manifold; Hartree-type; CHOQUARD-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.1080/00036811.2019.1698725

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following Schrodinger-Poisson system with Hartree-type nonlinearity - u + u +.fu = (Ia * |u|p)|u|p-2u, inR3, -f = u2, in R3, where. > 0, 0 < a < 3, Ia is a Riesz potential and 3+ a 3 < p < 3 + a. By using the Pohozaev type identity and the filtration of Nehari manifold, we show the existence of positive ground state solutions for the above system.

引用

页码：2777 / 2803

页数：27

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