Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction

被引：1

作者：

Esfahani, Amin ^{[1
]}

机构：

[1] Nazarbayev Univ, Dept Math, Astana 010000, Kazakhstan

来源：

ANALYSIS AND APPLICATIONS | 2024年 / 22卷 / 01期

关键词：

Fractional NLS system; prescribed solution; variational method; NORMALIZED SOLUTIONS; SCHRODINGER-EQUATIONS; STANDING WAVES; GROUND-STATES; EXISTENCE; SOLITONS; NLS;

D O I：

10.1142/S0219530523500185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear Schrodinger system with fractional derivative and quadratic interaction. Using constrained variational methods, we prove that this problem has a prescribed solution. Our contribution is that we can deal with a case in the supercritical range.

引用

页码：89 / 110

页数：22

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