Existence and Stability of Standing Waves for a Class of Inhomogeneous Nonlinear Schro<spacing diaeresis>dinger Equations with L2-Critical Nonlinearity

被引：0

作者：

Liu, Xinyan ^{[1
]}

Li, Xiaoguang ^{[1
]}

Zhang, Li ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2025年 / 80卷 / 01期

基金：

中国国家自然科学基金;

关键词：

L2-Critical nonlinearity; bounded potentials; standing waves; existence; orbital stability; SCHRODINGER-EQUATIONS; ORBITAL STABILITY;

D O I：

10.1007/s00025-024-02328-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and orbital stability of standing waves for a class of Schrodinger equations with L-2-critical nonlinearity. By considering a minimization problem with bounded potentials, the existence of standing waves is shown by means of the concentration-compactness argument. Moreover, we establish the orbital stability of standing waves.

引用

页数：14

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