• Medientyp: E-Artikel
  • Titel: Blow-up criteria and instability of standing waves for the fractional Schrodinger Poisson equation
  • Beteiligte: Mo, Yichun; Zhu, Min; Feng, Binhua
  • Erschienen: Texas State University, 2023
  • Erschienen in: Electronic Journal of Differential Equations, 2023 (2023) 1-37, Seite 24
  • Sprache: Nicht zu entscheiden
  • DOI: 10.58997/ejde.2023.24
  • ISSN: 1072-6691
  • Schlagwörter: Analysis
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: 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.
  • Zugangsstatus: Freier Zugang