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

页码：821 / 845

页数：25

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