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.

引用

页数：34

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