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.
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页数：14
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