EXISTENCE AND NON-EXISTENCE OF NORMALIZED SOLUTIONS FOR A NONLINEAR FRACTIONAL SCHRODINGER SYSTEM

被引：0

作者：

Liu, Chungen ^{[1
]}

Zhang, Zhigao ^{[1
]}

Zuo, Jiabin ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2025年 / 24卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger system; fractional Laplacian; normalized solu-tions; constrained minimization; GROUND-STATES; EXCITED-STATES; EQUATIONS;

D O I：

10.3934/cpaa.2025061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a nonlinear fractional Schrdinger system in R with intraspecies interactions a(i) > 0 (i = 1,2) and interspecies interactions beta is an element of R. We study this system by solving an associated constrained minimization problem (i.e., L-2-norm constaints). Under certain assumptions on the trapping potentials Vi(x) (i = 1, 2), we derive some delicate estimates for the related energy functional and establish a criterion for the existence and non-existence of solutions, in which way several existence results are obtained.

引用

页码：1830 / 1860

页数：31

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