THE EXISTENCE AND ASYMPTOTIC BEHAVIOURS OF NORMALIZED SOLUTIONS FOR CRITICAL FRACTIONAL SCHRODINGER EQUATION WITH CHOQUARD TERM

被引：5
|
作者：
LI, Meng [1 ]
He, Jinchun [1 ]
Xu, Haoyuan [1 ]
Yang, Meihua [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 02期
关键词：
Fractional Schrodinger equation; normalized solutions; ground state solutions; mountain pass type solutions; asymptotic behaviours; GROUND-STATES; UNIQUENESS;
D O I：
10.3934/dcds.2022171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence and asymptotic behaviours of solutions for the following fractional equation (-Delta)(s)u + lambda u = mu(I-alpha star vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u + vertical bar u vertical bar(2)*(s -2)u, x is an element of R-N, under the constraint integral(RN) vertical bar u vertical bar(2)dx = c(2), where N >= 2, I-alpha = 1/vertical bar x vertical bar(N-alpha), alpha is an element of (N - 2s, N), 2 <= p < 1 + alpha+2s/N and 2*(s) = 2N/N-2s.
引用
收藏
页码：821 / 845
页数：25
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