Normalized solutions for nonlinear Schrödinger equations on graphs

被引：2

作者：

Yang, Yunyan ^{[1
]}

Zhao, Liang ^{[2
]}

机构：

[1] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 536卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equation; Variational method; Normalized solution; Analysis on graph; SCALAR FIELD-EQUATIONS; SCHRODINGER-EQUATION; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2024.128173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the nonlinear Schrodinger equation with an L2 mass constraint on both finite and locally finite graphs and prove that the equation has a normalized solution by employing variational methods. We also pay attention to the behaviours of the normalized solution as the mass constraint tends to 0+ or +infinity and give clear descriptions of the limit equations. Finally, we provide some numerical experiments on a finite graph to illustrate our theoretical results. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：17

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