Positive Ground State Solutions for Schrodinger-Poisson System Involving a Negative Nonlocal Term and Critical Exponent

被引：1
作者：
Zhu, Li-Jun [1 ]
Liao, Jia-Feng [1 ,2 ]
Liu, Jiu [3 ]
机构：
[1] China West Normal Univ, Sch Math & Informat, Nanchong 637009, Sichuan, Peoples R China
[2] China West Normal Univ, Coll Math Educ, Nanchong 637009, Sichuan, Peoples R China
[3] Qiannan Normal Univ Nationalities, Sch Math & Stat, Duyun 558000, Guizhou, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Poisson system; critical exponent; variational method; ground state solution; SIGN-CHANGING SOLUTIONS; THOMAS-FERMI; EQUATIONS; ATOMS;
D O I：
10.1007/s00009-022-02163-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we are dedicated to study the Schrodinger-Poisson system involving a negative nonlocal term and critical exponent. Using the variational method and analytic techniques, we establish the existence of positive ground state solution which improves the recent results in the literature.
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页数：19
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