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.
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页码：7833 / 7844
页数：12
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