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NOTE ON SOME FRACTIONAL BI-INHOMOGENEOUS SCHRODINGER-CHOQUARD EQUATIONS
  • Lassaad Chergui
Lassaad Chergui
Qassim University
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Abstract

In the subcritical energy case, local well-posedness is established in the radial energy space for a class of fractional inhomogeneous Choquard equations. The best constant of a Gagliardo-Nirenberg type inequality is obtained. Moreover, a sharp threshold of global existence versus blow-up dichotomy is obtained for mass super-critical and energy subcritical solutions.

Peer review status:IN REVISION

24 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
25 Aug 2020Assigned to Editor
25 Aug 2020Submission Checks Completed
11 Sep 2020Reviewer(s) Assigned
24 Jun 2021Review(s) Completed, Editorial Evaluation Pending
01 Jul 2021Editorial Decision: Revise Major