GROUND STATE SOLUTION OF FRACTIONAL SCHRODINGER-POISSON-SLATER EQUATION: DOUBLE CRITICAL CASE

被引：0
|
作者：
Su, Yu [1 ]
Feng, Zhaosheng [2 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年
关键词：
Fractional Schrodinger-Poisson-Slater equation; critical exponent; Nehari-Pohozaev manifold; ground state; fractional Coulomb-Sobolev space; ATOMS;
D O I：
10.3934/dcdss.2024206
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fractional Schrodinger-Poisson-Slater equation can be derived from the Thomas-Fermi-Dirac-von Weizsacker theory of charge screening in graphene. In this paper, we make an effort to study the behavior of bounded sequences in radial fractional Coulomb-Sobolev space under certain conditions, and then apply it to study the existence of Nehari-Pohozaev type ground state solutions for the fractional Schrodinger-Poisson-Slater equation with lower and upper critical exponents.
引用
收藏
页数：27
相关论文
共 50 条
12345