Ground States for Fractional Schrodinger Equations with Electromagnetic Fields and Critical Growth

被引：7
|
作者：
Li, Quanqing [1 ]
Wang, Wenbo [2 ]
Teng, Kaimin [3 ]
Wu, Xian [4 ]
机构：
[1] Honghe Univ, Dept Math, Mengzi 661100, Peoples R China
[2] Yunnan Univ, Dept Math & Stat, Kunming 650091, Yunnan, Peoples R China
[3] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
[4] Yunman Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fractional Schrodinger equation; fractional magnetic operator; critical growth; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;
D O I：
10.1007/s10473-020-0105-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the following fractional Schrodinger equation with electromagnetic fields and critical growth where (-Delta)(A) is the fractional magnetic operator with f is a continuous function, V is an element of C(Double-struck capital R-N, Double-struck capital R) and A is an element of C(Double-struck capital R-N,Double-struck capital R-N) are the electric and magnetic potentials, respectively. When V and f are asymptotically periodic in x, we prove that the equation has a ground state solution for large by Nehari method.
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页码：59 / 74
页数：16
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