FRACTIONAL SCHRODINGER-POISSON SYSTEMS WITH WEIGHTED HARDY POTENTIAL AND CRITICAL EXPONENT

被引：0
作者：
Su, Yu [1 ,2 ]
Chen, Haibo [2 ]
Liu, Senli [2 ]
Fang, Xianwen [1 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
基金：
中国国家自然科学基金;
关键词：
Fractional Schrodinger-Poisson system; weighted Hardy potential; critical exponent; OPERATORS; EQUATIONS; EXISTENCE; BEHAVIOR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider the fractional Schrodinger-Poisson system (-Delta)(s)u - mu Phi(x/vertical bar x vertical bar)/vertical bar x vertical bar(2s) u + lambda phi u - vertical bar u vertical bar(2s)*(-2) u, in R-3, (-Delta)(t) phi = u(2), in R-3, where s is an element of (0, 3/4), t is an element of (0, 1), 2t + 4s = 3, lambda > 0 and 2(s)* = 6/(3 - 2s) is the Sobolev critical exponent. By using perturbation method, we establish the existence of a solution for lambda small enough.
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页数：17
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