Mo, YichunZhu, MinFeng, Binhua2023-05-232023-05-232023-03-06Mo, Y., Zhu, M., & Feng, B. (2023). Blow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equation. <i>Electronic Journal of Differential Equations, 2023</i>(24), pp. 1-23.1072-6691https://hdl.handle.net/10877/16859In this article, we consider blow-up criteria and instability of standing waves for the fractional Schrödinger-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.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalSchrödinger-Poisson equationBlow-up criteriaStrong instabilityStanding wavesWell-posednessBlow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equationArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.