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

页数：27

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