Ground State Solution of Schrodinger-Poisson-Choquard Equation: Double Critical Case

被引：2
|
作者：
Liu, Senli [2 ]
Su, Yu [1 ]
Wang, Sainan [1 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math, Huainan 232001, Anhui, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2022年 / 77卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Poisson-Choquard equation; critical exponent; Nehari manifold; Pohozaev manifold; ground state; Coulomb-Sobolev space;
D O I：
10.1007/s00025-022-01684-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of Nehari type and Pohozaev type ground state solutions for Schrodinger-Poisson-Choquard equation. The nonlinearity has lower and upper critical exponents, which is the "almost optimal" choice in the spirit of Berestycki-Lions conditions.
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页数：34
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