BLOW-UP CRITERIA AND INSTABILITY OF STANDING WAVES FOR THE FRACTIONAL SCHRODINGER POISSON EQUATION

被引：0

作者：

Mo, Yichun ^{[1
]}

Zhu, Min ^{[2
]}

Feng, Binhua ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Nanjing Forestry Univ, Dept Math, Nanjing 210037, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 24期

关键词：

Schrodinger-Poisson equation; blow-up criteria; strong instability; standing waves; well-posedness; EXISTENCE; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider blow-up criteria and instability of standing waves for the fractional Schrodinger-Poisson equation. By using the localized virial estimates, we establish the blow-up criteria for non-radial solutions in both mass-critical and mass-supercritical cases. Based on these blow-up criteria and three variational characterizations of the ground state, we prove that the standing waves are strongly unstable. These obtained results extend the corresponding ones presented in the literature.

引用

页数：23

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