Yichun Mo, Min Zhu, Binhua Feng
Abstract:
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.
Submitted October 28, 2022. Published March 6, 2023.
Math Subject Classifications: 35J60, 35Q55, 35J20.
Key Words: Schrodinger-Poisson equation; blow-up criteria; strong instability;
standing waves; well-posedness.
DOI: https://doi.org/10.58997/ejde.2023.24
Show me the PDF file (394 KB), TEX file for this article.
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Yichun Mo Department of Mathematics Northwest Normal University Lanzhou 730070, China email: sg25888@163.com |
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Min Zhu Department of Mathematics Nanjing Forestry University Nanjing, Jiangsu 210037, China email: zhumin@njfu.edu.cn |
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Binhua Feng Department of Mathematics Northwest Normal University Lanzhou 730070, China email: binhuaf@nwnu.edu.cn |
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