Blow-up solutions with minimal mass for nonlinear Schrodinger equation with variable potential

被引：5
|
作者：
Pan, Jingjing [1 ]
Zhang, Jian [1 ,2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[2] Sichuan Normal Univ, VC & VR Key Lab Sichuan Provence, Chengdu 610068, Peoples R China
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2022年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
variable coefficient nonlinear Schrodinger equation; minimal mass blow-up solutions; variational characterization; ground state; compactness; STABILITY; UNIQUENESS; EXISTENCE; WAVES;
D O I：
10.1515/anona-2020-0185
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the mass-critical variable coefficient nonlinear Schrodinger equation. We first get the existence of the ground state by solving a minimization problem. Then we prove a compactness result by the variational characterization of the ground state solutions. In addition, we construct the blow-up solutions at the minimal mass threshold and further prove the uniqueness result on the minimal mass blow-up solutions which are pseudo-conformal transformation of the ground states.
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页码：58 / 71
页数：14
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