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Lassaad Chergui
Lassaad Chergui

Public Documents 2
CORRIGENDUM TO: A NOTE ON THE FRACTIONAL SCHR ÖDINGER EQUATION OF CHOQUARD TYPE
Lassaad Chergui

Lassaad Chergui

November 10, 2025
The proof of the mass critical virial type identity of Theorem 2.6 from [1] is not true as it stands. We give here a correct statement. Also the condition 1 < p < 1 + α N + 4s have no use in the proof of Theorem 2.6. However, such condition should be replaced by 1 + α N < p < 1 + α N + 2s in Theorem 2.8. 2010 Mathematics Subject Classification. 35Q55.
NOTE ON SOME FRACTIONAL BI-INHOMOGENEOUS SCHRODINGER-CHOQUARD EQUATIONS
Lassaad Chergui

Lassaad Chergui

August 25, 2020
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.

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