NOTE ON SOME FRACTIONAL BI-INHOMOGENEOUS SCHRODINGER-CHOQUARD EQUATIONS
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.24 Aug 2020Submitted to Mathematical Methods in the Applied Sciences 25 Aug 2020Submission Checks Completed
25 Aug 2020Assigned to Editor
11 Sep 2020Reviewer(s) Assigned
24 Jun 2021Review(s) Completed, Editorial Evaluation Pending
01 Jul 2021Editorial Decision: Revise Major
