Existence of axially symmetric solutions for a kind of planar Schrodinger-Poisson system

被引：1
|
作者：
Zhang, Qiongfen [1 ]
Chen, Kai [2 ]
Liu, Shuqin [1 ]
Fan, Jinmei [1 ]
机构：
[1] Guilin Univ Technol, Sch Sci, Guilin 541004, Guangxi, Peoples R China
[2] Guilin Univ Aerosp Technol, Sch Sci, Guilin 541004, Guangxi, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 07期
基金：
中国国家自然科学基金;
关键词：
existence; axially symmetric; ground state solution; Logarithmic convolution potential; planar Schrodinger-Poisson system; EQUATIONS; MULTIPLICITY;
D O I：
10.3934/math.2021455
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following kind of Schrodinger-Poisson system in R-2 {-Delta u + V(x)u +phi u = K(x)f(x), x is an element of R-2, Delta phi = u(2) x is an element of R-2, where f is an element of C(R , R), V(x) and K(x) are both axially symmetric functions. By constructing a new variational framework and using some new analytic techniques, we obtain an axially symmetric solution for the above planar system. Our result improves and extends the existing works.
引用
收藏
页码：7833 / 7844
页数：12
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