Ground state solutions of a Choquard type system with critical exponential growth

被引：0
|
作者：
Chen, Wenjing [1 ]
Tang, Huan [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China
来源：
APPLICABLE ANALYSIS | 2023年 / 102卷 / 18期
关键词：
Choquard type system; critical exponential growth; ground state solutions; COUPLED SYSTEMS; EXISTENCE; EQUATIONS;
D O I：
10.1080/00036811.2022.2153678
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of ground state solutions for the following Choquard type system {-delta u+u=(I-mu & lowast;F-1(u))f(1)(u)+lambda(x)v, x is an element of R-2, -delta v+v=(I-mu & lowast;F-2(v))f(2)(v)+lambda(x)u,x is an element of R-2, whereI(mu)=1|x|(mu) and 0 <mu < 2,fihas exponential critical growth of Trudinger-Moser type, F-i is the primitive function of f(i) for i=1, 2,lambda is acontinuous and periodic function.
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页码：5027 / 5044
页数：18
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